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Question: If the planes \(x + 2y + kz = 0\) and \(2x + y - 2z = 0\) are at right angles, then the value of k i...

If the planes x+2y+kz=0x + 2y + kz = 0 and 2x+y2z=02x + y - 2z = 0 are at right angles, then the value of k is

A

12- \frac{1}{2}

B

12\frac{1}{2}

C

– 2

D

2

Answer

2

Explanation

Solution

Obviously, 2(1)+1(2)2(k)=0k=22 ( 1 ) + 1 ( 2 ) - 2 ( k ) = 0 \Rightarrow k = 2 .