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The value of k for which the planes kx+4...

The value of k for which the planes `kx+4y+z=0, 4x+ky+2z=0 nd 2x+2y+z=0` intersect in a straighat line is

A

-2

B

4

C

6

D

-8

Text Solution

Verified by Experts

The correct Answer is:
b
`D=|{:(k,4,1),(4,k,2),(2,2,1):}|=0`
`rArr k(k-4)-4(0)+1(8-2k)=0`
`rArr k^(2)-6k+8=0 rArr k=2,4`
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CENGAGE ENGLISH-EQUATION OF PLANE AND ITS APPLICATIONS -I -DPP 3.3
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  2. find that the distance of the point of intersection of the line (x-2)/...

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  3. The value of k for which the planes kx+4y+z=0, 4x+ky+2z=0 nd 2x+2y+z=0...

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  4. Let P=-(1,7,sqrt(2)) be a point and line L is 2sqrt(2)(x-1)=y-2,z=0. I...

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