Home
Class 12
MATHS
The image of P(a,b) on the line y=-x is ...

The image of `P(a,b)` on the line `y=-x` is Q and the image of Q on the line `y=x` is R . then the midpoint of PR is

A

`(a+b,a+b)`

B

`((a+b)/2,(b+2)/2)`

C

`(a-b,b-a)`

D

`(0,0)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • THE STRAIGHT LINES

    ARIHANT MATHS|Exercise Exercise For Session 6|12 Videos

  • THE STRAIGHT LINES

    ARIHANT MATHS|Exercise Exercise (Single Option Correct Type Questions)|28 Videos

  • THE STRAIGHT LINES

    ARIHANT MATHS|Exercise Exercise For Session 4|15 Videos

  • SETS, RELATIONS AND FUNCTIONS

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

  • THEORY OF EQUATIONS

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

Similar Questions

Explore conceptually related problems

The image of the point A (1,2) by the line mirror y=x is the point B and the image of B by the line mirror y=0 is the point (alpha,beta) , then

the image of the point A(2,3) by the line mirror y=x is the point B and the image of B by the line mirror y=0 is the point (alpha,beta), find alpha and beta

Let P be a point on the circle x^(2)+y^(2)=9 , Q a point on the line 7x+y+3=0 , and the perpendicular bisector of PQ be the line x-y+1=0 . Then the coordinates of P are

Let P be the point (1,0) and Q be a point on the locus y^(2)=8x . The locus of the midpoint of PQ is

The equation of the line AB is y = x . If A and B lie on the same side of the line mirror 2x-y = 1 , then the equation of the image of AB is

The image of the line (x-1)/3=(y-3)/1=(z-4)/(-5) in the plane 2x-y+z+3=0 is the line

The equation of image of pair of lines y=|x-1| with respect to y-axis is :

Find the image of the point (1, 6, 3) in the line : x/1=y-1/2=z-2/3

Write the coordinates of the image of the point (3,8) in the lines x+3y-7=0.

A point P lies on x-axis and another point Q lies on y-axis. :- If the abscissa of point P is - 12 and the ordinate of point Q is-16, calculate the, length of line segment PQ.