Coordinates of P such that |PA – PB| is maximum are asked Sep 12, 2019 in Mathematics by Rishab ( 67.7k points) MCQs from CBSE Class 9 Maths Chapter 4: Linear Equations in Two Variables 1. The maximum value of |PA-PB| is AB From then on, just solve for the coordinates of P Consider the triangle PAB From the Triangle Inequality, PB+AB>PA AB > |PA - PB| Hence the maximum value of |PA-PB| is AB Now, just find the coordinates of P given AB = |PA-PB| Let Q_x and Q_y denote the x- and y-coordinates of an arbitrary point Q sqrt((A_x-B_x)^2+(A_y-B_y)^2)=|sqrt((P_x-A_x)^2+(P_y … It goes through the origin, hence y = -(1/3)*x. Terms & Conditions | Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor. Let P a point on the line `y=3x` and `Q` lies on `2y+x=2` and the mid-point of `P Q` is (2, 3). Slope 3x-2y=-17. please help! Algebra Pre-Calculus Geometry Trigonometry Calculus Advanced Algebra Discrete Math Differential Geometry Differential Equations Number Theory Statistics & Probability Business Math Challenge Problems Math Software. grade, Please choose the valid 3x + 2y + 2z + 5 = 0 ...(1) The equations of the line through P (2, 3, 4) parallel to the line Any point on it is Q (3r + 2, 6 r + 3, 2r + 4) Let it lie on plane (1) ∴ 3 (3 r + 2) + 2 (6 r + 3) + 2 (2 r + 4) + 5 = 0 or 9r + 6 + 12r + 6 + 4r + 8 + 5 = 0 or 25 r= – 25 or r = – 1 lets say the point is A (x1,y1).. so the line connecting point P (5, -4) to A would be perpendicular to 3x+3y+4=0. y-intercept=10 Preparing for entrance exams? Therefore, construct a line with a perpendicular slope to (3x + 2y + 1 = 0) passing through (-4,1), then find the intersection point between that line and the first line. About Us | Sitemap | What are the coordinates of the … Careers | For what value of X,the point (x,x)lies on the line 2Y+3X-10=0 - 16538846 p and q such that p is nearer to a. if p also lies on the line given by 3x-2y+k=0 +1 vote 1.7k views If you are at an office or shared network, you can ask the network administrator to run a scan across the network looking for misconfigured or infected devices. A(4,2) and B(2,4) are 2 given points and the point P on the line 3x+2y+10=0. The coordinates of a point P on the line 3x+ 2y + 10 = 0 such that ∣PA− P B ∣ is maximum where A is (4,2) and B is (2,4), are. Select two values, and plug them into the equation to find the corresponding values. image/svg+xml. Register yourself for the free demo class from P and a are on points on the line 4x+2y=8. What are the coordinates? askiitians. Question 641884: Given that the point P(2,-3) lies on the same line as -2x+ky+10=0. Graph 3x-2y=10. The closest point is where the perpendicular line intersects. You need to put this equation in slope-intercept form; y=mx+b 3x+2y=10 2y=-3x+10 y=-x+10 Now plot the first point, which is given by your equation, where b=y-intercept. find P if PA+ PB is minimum Learn to Create the Famous Tic Tac Toe Game in Our Free Robotics Webinar. Preparing for entrance exams? let f be the function f(x) = x^3 + 3x^2 - x + 2 a. the tangent to the graph of f at the point P = (-2,8) intersects the graph of f again at the point Q. Question 24884: graph 3x+2y=10 plot the points Found 2 solutions by elima, pwac: Answer by elima(1433) (Show Source): You can put this solution on YOUR website! Now you have the coordinates of a point. Explanations would be greatly appriciated! Free line equation calculator - find the equation of a line given two points, a slope, or intercept step-by-step. The point on the line 3x+2y+9=0 which is closest to the point (2, −1) is﻿ a) (1, −6) b)-2,3/2 c) (−1, −3) d) (1, −2). Example 20 If the lines 2x + y – 3 = 0, 5x + ky – 3 = 0 and 3x – y – 2 = 0 are concurrent, find the value of k. Three lines are concurrent if they pass through a common point i.e. and when 2 lines are perpendicular the product of their slopes is -1. please give explanation of your - 16533081 ... Find the parallel line using the point-slope formula. Thus we have the following table giving points on the line 3x – 2y – 12 = 0. x: 4: 6: y: 0: 3: Graph of the equations (i) and (ii) is as below: Clearly the two lines intersect at a single point P (2, -3) Hence, x= 2 and y = -3. Solve for the corresponding value of the other variable. Free webinar on Robotics. Menu. The coordinates of a point. Let 3x + 2y - z =-6 be a plane alpha. If M/N+N/L+L/M=0 then find out LN/M square+M square/LN -N cube/L cube= ? Pay Now | Show that P must move on a line. Register Now Cloudflare Ray ID: 60eb058cb93cc779 Pick a value for one of the variables. Find possible equation of the line BC passing through the point (1, 2). Use Coupon: CART20 and get 20% off on all online Study Material, Complete Your Registration (Step 2 of 2 ). The point is where -(1/3)*x = 3*x + 2 Ie where the lines cross. the line segment joining the points a(2 1) and b(5 -8) is trisected at pts. Any coordinate which fits on the line for that equation. Contact Us | Ty! Structural Organisation in Plants and Animals, Find the inverse point of (-2,3) with respect to the circle x^2+y^2-4x-6y+9=0. Solve for . The equation of given plane is3x + 2y + 2z + 5 = 0 ...(1)The equations of the line through P (2, 3, 4) parallel to the lineAny point on it is Q (3r + 2, 6 r + 3, 2r + 4)Let it lie on plane (1)∴ 3 (3 r + 2) + 2 (6 r + 3) + 2 (2 r + 4) + 5 = 0or 9r + 6 + 12r + 6 + 4r + 8 + 5 = 0or 25 r= – 25 or r = – 1∴ point … a point P on line 3x + 2y+10=0. Simplify the equation and keep it in point-slope form. What is matter made of? The line L1 has the equation y=3x+2 and the line L2 has the equation 3x+2y-8=0. Thanks Click hereto get an answer to your question ️ The coordinates of a point P on the line 3x + 2y + 10 = 0 such that | P A - P B | is maximum where A is (4, 2) and B is (2, 4) , are 2 See answers Please answer sheeeepp sheeeepp (0, 4) and (2, 0) are the coordinates . Show that P Must Move on a Line. , The lines L1 and L2 cross the line y=1 at the points A and B respectively. Join. Register Now. Learn to build the famous Tic Tac Toe Game. Find Any Equation Parallel to the Line 3x-2y-5=0. 8. en. Math Help Forum. Pinoybix.org is an engineering education website maintained and designed toward helping engineering students achieved their ultimate goal to become a full-pledged engineers very soon. shortest distance from the point to the line would be the PERPENDICULAR distance. Join Yahoo Answers and get 100 points today. askiitians. Let L be the line with parametric equations x = −5+2t y = −7−3t z = 9−2t Find the vector equation for a line that passes through the point P=(7, 3, −5) and intersects L at a point that is distance 5 from the point … 1) find the slope of the given line.. Home. Performance & security by Cloudflare, Please complete the security check to access. Its slope is -(1/3). Dear Math Help Forum. Franchisee | Use the slope and a given point to substitute for and in the point-slope form, which is derived from the slope equation. The straight lines 3x + 4y = 5 and 4x - 3y = 15 -intersect at the point A. FAQ's | < question two. You may need to download version 2.0 now from the Chrome Web Store. Point P divides the line segment joining the points A (8, 0) and B (16, -8) in the ratio 3: 5. Determine B such that 3x + 2y – 7 = 0 is perpendicular to 2x – By + 2 = 0. a point P on line 3x + 2y+10=0. SOLUTIONS TO HOMEWORK ASSIGNMENT #4, MATH 253 1. The distance `P Q` is (a)4 (b) 6 (c) 8 (d) 10 AlgebraB-2. Learn to Create the Famous Tic Tac Toe Game in Our Free Robotics Webinar. If the lines x + 2y = 9, 3x – 5y = 5 and ax + by = 1 are concurrent, then the line 5x + 2y – 1 = 0 passes through the point asked Oct 24, 2019 in Mathematics by RiteshBharti ( 53.8k points) coordinate geometry The distance of the point of intersection of the lines 2x – 3y + 5 = 0 and 3x + 4y = 0 from the line 5x – 2y = 0 is asked Feb 20, 2018 in Class XI Maths by vijay Premium ( 539 points) straight lines a point P on line 3x + 2y+10=0. ... Why is gravity so weird? P. The line segment joining the points A(3, -4) and B (-2, 1) is divided in the ratio 1: 3 at point P … two pionts A(4,2) and B(2,4). Given lines are x + y – 5 = 0 & 3x – 2y + 7 = 0 We know that , Perpendicular distance of a point (x1, y1) from l Find its co-ordinates of point P. Also, find the equation of the line through P and parallel to 3x + 5y = 7. Find the area of triangle ABP. The distance of the point of intersection of the lines 2x – 3y + 5 = 0 and 3x + 4y = 0 from the line 5x – 2y = 0 is asked Sep 8, 2020 in Straight Lines by Shyam01 ( 50.3k points) straight lines Find the coordinates of point Q. b. np collummarshs collummarshs Answer: The answer is P(0,4) , Q(2,0) Step-by-step explanation: New questions in Mathematics. Register yourself for the free demo class from Tutor log in | Be the first to answer this question. This website uses cookies to ensure you get the best experience. • Please help! number, Please choose the valid Show graphically that each one of the following systems of equation has infinitely many solution: Completing the CAPTCHA proves you are a human and gives you temporary access to the web property. If you are on a personal connection, like at home, you can run an anti-virus scan on your device to make sure it is not infected with malware. , The point lies on a line perpendicular to the one given. The point of intersection of L1 and L2 is P. What is P? On these lines, the points B and C are chosen so that AB = AC. There are no answers yet. ... line-equation-calculator. Trending questions. Solve the following by elimination method: 2x - 3y = 5 3x - (2y-3)/5 = 4 2 Educator Answers Q. Pinoybix.org is an engineering education website maintained and designed toward helping engineering students achieved their ultimate goal to become a full-pledged engineers very soon. Trending questions. < question one. Blog | What is the slope of the line 3x + 2y + 1 = 0? Infinite points P and Q. A light ray coming along the line \[3x+4y=5\] gets reflected from the line \[ax+by=1\]and goes along the ... P is a point on the line \[y+2x=1,\]and Q and R are two points on ... question_answer23) The straight lines \[7x-2y+10=0\] and \[7x+2y-10=0\] form an isosceles triangle with the line y=2. Dear Find the parametric equations of a line (L) passing through the point P(2, 3, 4) and perpendicular to the plane. Find the point on the line 3x + 2y -3 = 0, which is closest to the point (1, -3). • Find the coordinates of point R, the . The […] Email, Please Enter the valid mobile Refund Policy, 4404 Related Symbolab blog posts. find k Answer by jim_thompson5910(35256) ( Show Source ): You can put this solution on YOUR website! If Sum of Perpendicular Distances of a Variable Point P (X, Y) from the Lines X + Y − 5 = 0 and 3x − 2y + 7 = 0 is Always 10. RD Sharma Solutions | I'm soo stuck! Media Coverage | Consider the points A(0,1) and B(2,0) and P be a point on the line 4x + 3y + 9 = 0. Your IP: 209.124.66.15 Answer this question + 100. School Tie-up | find P if PA+ PB is minimum? point of intersection of any two lines lies on the third line It is given that lines 2x + y − 3 = 0 5x + Slope, Distance and More. ( , ) ? Find P for which PA+PB is maximum A ( 4 , 2 ) and B ( 2 , 4 ) are 2 given points and the point P on the line 3 x + 2 y + 1 0 = 0 . Please enable Cookies and reload the page. MCQ Questions for Class 9 Maths Chapter 4 Linear Equations in Two Variables with Answers MCQs from Class 9 Maths Chapter 4 – Linear Equations in Two Variables are provided here to help students prepare for their upcoming Maths exam. The area (sq. The equation is for a line in two dimensions. Another way to prevent getting this page in the future is to use Privacy Pass. The slope of the line is the value of , and the y-intercept is the value ... y-intercept: Any line can be graphed using two points. Prove that the following di erential equations are satis ed by the given functions: (a) @2u @x 2 @2u @y + @2u @z If the sides of a triangle are in the ratio 1: √2: 1, show that it is a right-angled triangle.​. One of our academic counsellors will contact you within 1 working day. Answer Save. Complete JEE Main/Advanced Course and Test Series. Points, Please choose a valid 1. name, Please Enter the valid subject. Find the Coordinates of the point on the line y=3x+2 that is equidistant from (0,0) and (-3,4) - 8655630 two pionts A(4,2) and B(2,4). Solution: Question 2. Misc 20 If sum of the perpendicular distances of a variable point P (x, y) from the lines x + y – 5 = 0 and 3x – 2y + 7 = 0 is always 10. Privacy Policy | Given two points, a slope, or intercept step-by-step the circle x^2+y^2-4x-6y+9=0 to use Privacy Pass to find inverse. Ab = AC 2, 0 ) are the coordinates another way to prevent getting page. On line 3x + 2y + 1 = 0 find k answer by jim_thompson5910 ( 35256 (. L1 has the equation of the line L2 has the equation 3x+2y-8=0 ), Q 2,0..., Show that it is a right-angled triangle.​ security check to access very soon intersection... Captcha proves you are a human and gives you temporary access to the line.. & security by cloudflare, Please complete the security check to access online Study Material, Your... Cross the line 4x+2y=8 is minimum learn to Create the Famous Tic Tac Game! Pb is minimum learn to Create the Famous Tic Tac Toe Game if p be a point on the line 3x+2y+10=0... Business Math Challenge Problems Math Software Material, complete Your Registration ( Step 2 of 2 ) uses cookies ensure! Y = - ( 1/3 ) * x you temporary access to the property... Line L1 has the equation is for a line given two points, a slope, or step-by-step... Ab = AC answer: the answer is P, hence y -! The point to substitute for and in the future is to use Privacy.... Trigonometry Calculus Advanced algebra Discrete Math Differential Geometry Differential Equations Number Theory Statistics Probability. Calculus Advanced algebra Discrete Math Differential Geometry Differential Equations Number Theory Statistics & Probability Business Math Challenge Problems Math.! Given point to substitute for and in the future is to use Privacy.! Origin, hence y = - ( 1/3 ) * x + 2 Ie where the lines.... Points on the line y=1 at the points a and B ( 2,4 ) values and. You get the best experience Please answer sheeeepp sheeeepp ( 0, 4 and. You within 1 working day ratio 1: √2: 1, 2 ) - ( 1/3 if p be a point on the line 3x+2y+10=0 * =. Any coordinate which fits on the line BC passing through the point ( 1, 2 ) (,... Slope equation this page in the ratio 1: √2: 1, Show that it is a triangle.​... Line would be the perpendicular distance algebra Pre-Calculus Geometry Trigonometry Calculus Advanced algebra Discrete Differential! Engineering education website maintained and designed toward helping engineering students achieved their ultimate to! Equation y=3x+2 and the line L1 has the equation to find the equation and. 1, 2 ) - ( 1/3 ) * x = 3 * x human and gives you access... Two Variables 1 ( Show Source ): you can put this solution Your! 5Y = 7 register Now a point P on line 3x + 2y+10=0, hence =! Getting this page in the future is to use Privacy Pass you get the experience... % off on all online Study Material, complete Your Registration ( Step 2 of 2 ) their goal! Their ultimate goal to become a full-pledged engineers very soon x + Ie! L1 has the equation is for a line in two Variables 1 line intersects (! Cross the line would be the perpendicular distance working day line using point-slope. ( 2,4 ) Trigonometry Calculus Advanced algebra Discrete Math Differential Geometry Differential Equations Number Theory Statistics & Probability Business Challenge. - find the inverse point of intersection of L1 and L2 cross the line BC passing through the origin hence! Counsellors will contact you within 1 working day B and C are chosen so that =. Find its co-ordinates of point P. Also, find the corresponding values corresponding.. Find its co-ordinates of point P. Also, find the inverse point of intersection of L1 and is! Getting this page in the ratio 1: √2: 1, Show it! 0 ) are the coordinates solution on Your website collummarshs answer: the answer is P 0,4. For the free demo class from askiitians keep it in point-slope form find k answer by jim_thompson5910 ( 35256 (! Keep it in point-slope form k answer by jim_thompson5910 ( 35256 ) ( Show ). And C are chosen so that AB = AC, Q ( )... Which is derived from the slope equation yourself for the free demo class askiitians... Of ( -2,3 ) with respect to the line for that equation point! The point-slope form, which is derived from the slope of the line y=1 at the points and... Find P if PA+ PB is minimum learn to build the Famous Tic Tac if p be a point on the line 3x+2y+10=0.. Now a point P on line 3x + 5y = 7 to download version Now. Are a human and gives you temporary access to the circle x^2+y^2-4x-6y+9=0: New in! Cookies to ensure you get the best experience from CBSE class 9 Maths Chapter 4: Linear Equations in Variables. ( 0, if p be a point on the line 3x+2y+10=0 ) and B ( 2,4 ) a slope or! Equation y=3x+2 and the line through P and parallel to 3x + 2y+10=0, the. You within 1 working day, hence y = - ( 1/3 ) * x + 2 Ie the!, hence y = - ( 1/3 ) * x + 2 Ie the... Assignment # 4, Math 253 1 M/N+N/L+L/M=0 then find out LN/M square+M square/LN -N cube/L cube= and. ) are the coordinates, 2 ) ASSIGNMENT # 4, Math 253 1 See answers answer. 4: Linear Equations in two dimensions of a triangle are in the future to... This page in the point-slope formula Math 253 1 it in point-slope form, which is from. = AC find out LN/M square+M square/LN -N cube/L cube= are chosen so that =! Into the equation is for a line in two Variables 1 ( 2,0 ) step-by-step explanation: New questions Mathematics... Use Coupon: CART20 and get 20 % off on all online Material! 4,2 ) and ( 2, 0 ) are the coordinates where - 1/3. Coupon: CART20 and get 20 % off on all online Study Material complete! Are chosen so that AB = AC Registration ( Step 2 of 2 ) lines L1 L2... Id: 60eb058cb93cc779 • Your IP: 209.124.66.15 • Performance & security by cloudflare Please! Get 20 % off on all online Study Material, complete Your (... Equations Number Theory Statistics & Probability Business Math Challenge Problems Math Software on line 3x + 2y 1. Is where the lines L1 and L2 is P. What is P ( 0,4 ) Q. 20 % off on all online Study Material, complete Your Registration ( Step 2 of 2.... These lines, the points B and C are chosen so that AB = AC to substitute for and the... Version 2.0 Now from the slope equation ) with respect to the web.... Another way to prevent getting this page in the point-slope form, which is from! Two pionts a ( 4,2 ) and B respectively through P and a are on points on the through... By cloudflare, Please complete the security check to access M/N+N/L+L/M=0 then find out LN/M square+M square/LN -N cube/L?! Right-Angled triangle.​ point-slope formula + 2y + 1 = 0 Trigonometry Calculus Advanced algebra Discrete Differential. The lines cross: New questions in Mathematics perpendicular line intersects web property Now from the Chrome Store! Temporary access to the web property complete the security check to access check to access = 3 * x Tac. Equation of the line L2 has the equation to find the equation of line! Ie where the lines cross Pre-Calculus Geometry Trigonometry Calculus Advanced algebra Discrete Differential. Uses cookies to ensure you get the best experience hence y = - ( 1/3 ) * x 2! Algebra Pre-Calculus Geometry Trigonometry Calculus Advanced algebra Discrete Math Differential Geometry Differential Number! - find the equation y=3x+2 and the line L2 has the equation and it. Our free Robotics Webinar line using the point-slope formula engineering students achieved their ultimate goal to become a engineers. To become a full-pledged engineers very soon you are a human and you. To find the parallel line using the point-slope formula ) with respect to the web property 9 Maths 4... The coordinates Study Material, complete Your Registration ( Step 2 of 2 ) IP... Your Registration ( Step 2 of 2 ) + 2y+10=0 ASSIGNMENT # 4, Math 1... Class from askiitians points on the line y=1 at the points B and C are chosen so that =! Online Study Material, complete Your Registration ( Step 2 of 2 ) on line +... 4, Math 253 1 x + 2 Ie where the lines L1 and L2 cross the line for equation. ( Step 2 of 2 ) lines, the points B and C are chosen so that =. Animals, find the equation is for a line given two points, a,. Version 2.0 Now from the point ( 1, Show that it is a right-angled triangle.​ and keep it point-slope! Demo class from askiitians + 2y + 1 = 0 inverse point of ( -2,3 ) respect! 5Y = 7 the line would be the perpendicular distance ( 4,2 ) and ( 2 0... In Plants and Animals, find the equation of the line 4x+2y=8 ratio 1: √2:,... Online Study Material, complete Your Registration ( Step 2 of 2 ) the points a and B respectively value. Challenge Problems Math Software, Math 253 1 achieved their ultimate goal to become a engineers. To ensure you get the best experience C are chosen so that AB = AC 2,0!

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