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The value of k such that (x-4)/1=(y-2)/1...

The value of `k` such that `(x-4)/1=(y-2)/1=(z-k)/2` lies in the plane `2x-4y=z=7` is a. 7 b. -7 c. no real value d. 4

A

7

B

-7

C

No real value

D

4

Text Solution

Verified by Experts

The correct Answer is:
A
Given equation of straight line
`(x-4)/(1)=(y-2)/(1)=(z-k)/(2)`
Since, the line lies in the plane `2x-4y+z=7.`
Hence, point (4,2,k) must satisfy the plane.
`implies" "8-8+ k=7impliesk=7`
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