A) \[2\]
B) \[-2\]
C) \[\frac{1}{2}\]
D) \[-\frac{1}{2}\]
Correct Answer: A
Solution :
Key Idea If two planes are perpendicular, then the sum of the product of two direction ratios will be zero. Given two planes are \[2x+y-2z=0\] and \[x+2y+kz=0\] Since, two planes are perpendicular, then \[{{a}_{1}}{{a}_{2}}+{{b}_{1}}{{b}_{2}}+{{c}_{1}}{{c}_{2}}=0\] \[\Rightarrow \] \[2\cdot 1+1\cdot 2-2(k)=0\] \[\Rightarrow \] \[-2k+4=0\] \[\Rightarrow \] \[k=2\]
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