1.

The reflection of the point (2,-1,-3) in the plane 3x - 2y -z = 9 is :

Answer» line AB=`(x-2)/3=(y+1)/-2=(z-3)/-1=lambda`
`(x,y,z)=(3lambda+2,-2lambda-1,-lambda+3)`
`3x-2y-z=9`
`3(3lambda+2)-2(-2lambda-1)-3+lambda=9`
`9lambda+6+4lambda+2-3+lambda=9`
`14lambda=4`
`lambda=2/7`
`C(x,y,z)=(20/7,-11/7,19/7)`
A(2,-1,3)
C is MP of A and B
`C=(A+B)/2, B=(2C-A)`
`B=(26/7,-22/7+1,38/7-3)`
`B=(26/7,-15/7,17/7)`
option b is correct.


Discussion

No Comment Found

Related InterviewSolutions