The system of equations 2 x \cos ^2 \theta+y \sin 2 \theta-2 \sin \theta=0 x \sin 2 \theta+2 y \sin ^2 \theta=-2 \cos \theta x \sin \theta-y \cos \theta=0 \text{ for all values of } \theta, \text{ can }

Correct Answer is : cannot have a solution

can have a unique non-trivial solution

can have infinite number solutions

CUSAT 2022 BTech Solved Paper Shift 4

Question : 165 of 200

Marks: +1, -0

The system of equations
‌2xcos2θ+ysin‌2θ−2sin‌θ=0
‌xsin‌2θ+2ysin‌2θ=−2‌cos‌θ
‌xsin‌θ−y‌cos‌θ=0‌ for all values of ‌θ,‌ can ‌

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