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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
The given line passes through `(4,2,k)`. The line will lie in the plane `2x-4y+z=7` if the point `(4,2,k)` lies on the plane.
`:.2xx4-4xx2+k=7impliesk=7`
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