Home
Class 12
MATHS
Consider the points A(3,4) and B(7,13). ...

Consider the points A(3,4) and B(7,13). If P is a point on the line y=x such that PA+PB is minimum, then the coordinates of P are

A

`(12/7,12/7)`

B

`(13/7,13/7)`

C

`(31/7,31/7)`

D

`(0,0)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • THE STRAIGHT LINES

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 6|12 Videos

  • THE STRAIGHT LINES

    ARIHANT MATHS ENGLISH|Exercise Exercise (Single Option Correct Type Questions)|27 Videos

  • THE STRAIGHT LINES

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 4|15 Videos

  • SETS, RELATIONS AND FUNCTIONS

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|12 Videos

  • THEORY OF EQUATIONS

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|35 Videos

Similar Questions

Explore conceptually related problems

Consider the point A= (3, 4), B(7, 13) . If 'P' be a point on the line y = x such that PA +PB is minimum then coordinates of P is (A) (13/7,13,7) (B) (23/7,23/7) (C) (31/7,31/7) (D) (33/7,33/7)

Find a point P on the line 3x+2y+10=0 such that |PA - PB| is minimum where A is (4,2) and B is (2,4)

If A=(2, -3, 7), B = (-1, 4, -5) and P is a point on the line AB such that AP : BP = 3 : 2 then P has the coordinates

The line joining the points A (-3, -10) and B (-2, 6) is divided by the point P such that (PB)/(AB) = (1)/(5). Find the co-ordinates of P.

Consider the points A(0,1)a n dB(2,0),a n dP be a point on the line 4x+3y+9=0 . The coordinates of P such that |P A-P B| is maximum are (-(24)/5,(17)/5) (b) (-(84)/5,(13)/5) ((31)/7,(31)/7) (d) (0,0)

Consider the points A(0,1)a n dB(2,0),a n dP be a point on the line 4x+3y+9=0 . The coordinates of P such that |P A-P B| is maximum are (a) (-(24)/5,(17)/5) (b) (-(84)/5,(13)/5) (c) ((31)/7,(31)/7) (d) (-3,0)

If A(-3,4) ,B(5,6),then find point P on x-axis such that PA+PB is Minimum.

If P is a point (x ,y) on the line y=-3x such that P and the point (3, 4) are on the opposite sides of the line 3x-4y=8, then

Let A(1, 2) and B(-2,-4) be two fixed points. A variable point P.is chosen on the straight line y=x such that perimeter of DeltaPAB is minimum. Find coordinates of P.

P is a point on the line joining A (4, 3) and B (-2, 6) such that 5AP = 2BP. Find the coordinates of P.