1.

A ray of light comes light comes along the line L = 0 and strikes the plane mirror kept along the plane P = 0 at B. A(2, 1, 6)is a point on the line L = 0 whose image about P = 0 is A'. It is given that L = 0 is (x-2)/(3)= (y-1)/(4)= (z-6)/(5) and P =0is x+y-2z=3. The coordinates of A' are

Answer»

`(6, 5, 2)`
`(6, 5, -2)`
`(6, -5, 2)`
NONE of these

Solution :Let `Q(x_(2), y_(2), z_(2))` bethe IMAGE of `A(2, 1, 6)` about mirror`x +y -2z =3`. Then,
`""(x_(2)-2)/(1)= (y_(2)-1)/(1)= (z_(2)-6)/(-2)`
`""=(-2(2+1-12-3))/(1^(2)+1^(2)+2^(2))=4`
`rArr ""(x_(2), y_(2), z_(2))-= (6, 5, -2)`.


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