Q. 135.0( 2 Votes )

If the image of t

Answer :

Given: image of (2,1) is (5,2)


To find:


The equation of the mirror.


Explanation:


Let the image of A (2, 1) be B (5, 2).


Let M be the midpoint of AB.


Coordinates of M



Diagram:



Let CD be the mirror.


The line AB is perpendicular to the mirror CD.


Slope of AB × Slope of CD = 1


Slope of CD = -3


Thus, the equation of the mirror CD is



2y – 3 = -6x + 21


6x + 2y -24 = 0


3x + y – 12 = 0


Hence, the equation of mirror is 3x + y – 12 = 0.


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