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Two lines (x-5)/(4)=(y-7)/(4)=(z+3)/(-5)...

Two lines `(x-5)/(4)=(y-7)/(4)=(z+3)/(-5)` and `(x-8)/(7)=(y-4)/(1)=(z-5)/(3)` interesect at the point P. The reflection of P in the yz–plane has coordinates.

A

(1, 3, 2)

B

(1, 3, -2)

C

(-1, 3, 2)

D

(-1, -3, -2)

Text Solution

Verified by Experts

The correct Answer is:
C
`(4lambda + 5, 4lambda + 7, -5 lambda 3)` and `(7mu + 4, 3mu+5)`
`4lambda + 5=7mu+8,`
`4lambda + 7 =mu+4`
`4lambda - 7mu = 3, 4lambda - mu = -3`
`(mu = -1)` and `lambda = -1`
P(1, 3, 2) reflection is yz plane coordinate (-1, 3, 2)
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