Home
Class 12
MATHS
the image of the point A(2,3) by the li...

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`

Text Solution

Verified by Experts

Let `B(x_(1),y_(1))` be the image of the point `A(2,3)` about the line y=x, then
`[(,x_(1)),(,y_(1))]=[(0,1),(1,0)][(,2),(,3)]=[(,3),(,2)]`
therefore , the image of A(2,3) by the line mirror y=x is B (3,2).
Given, image of B by the line mirror y=0 (X-axis) is `(alpha,beta),` then
`[(,alpha),(,beta)]=[(1,0),(0,-1)][(,3),(,2)]=[(,3),(,-2)]`
on comparing, we get `alpha=3 andbeta=-2`
Promotional Banner

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 a.alpha=1,beta=-2b. alpha=,beta=0calpha=,beta=-1d. none of these

line image of the point A(1,2) by the line sin y=x is the point B and the image of Bx the line cx3=0 is the point is Bx.

If the image of the point (-4, 2) by a line mirror is (4, -2), then what is the equation of the line mirror?

The image of the point P(3,5) with respect to the line y=x is the point Q and the image of Q with respect to the line y=0 is the point R(a,b), then (a,b) is equal to:

Find the image of the point with respect to line mirror.

Find the image of the point (2,1) with respect to the line mirror x+y-5=0

If the image of the point (2,1) with respect to a line mirror be (5,2), find the equation of the mirror.

The image of point P(alpha,beta) with respect to the line y=-x is the point Q and the image of Q with respect to the line y=x is R. Then the mid point of R is