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The system of equations sin3θxy+z=0,cos2θx+4y+3z=0,2x+7y+7z=0  has non-trivial solutions if

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a
sin3θ+2cos2θ=2
b
sin3θ−2cosθ=2
c
sin 3θ−2cos2θ=1
d
sin3θ+2cos2θ=1

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detailed solution

Correct option is A

Given equations have non zero solution ⇒sin⁡3θ−11cos⁡2θ43277=0⇒sin3θ28−21−cos2θ−7−7+2−3−4=0⇒sin3θ+2cos2θ−2=0


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