MCQ
જો $2\, cos\theta + sin\theta = 1$ હોય તો $4\, cos\theta + 3sin\theta$ =
- A$3$
- B$-5$
- C$\frac{7}{5}$
- ✓બંને $(a)$ અને $(c)$
$\Rightarrow 5sin^2\theta - 2sin\theta - 3 = 0$
$\Rightarrow sin\theta = 1$ or $- \frac{3}{5}$ , now proceed
If $sin\theta = 1 \Rightarrow cos\theta = 0$
$\Rightarrow E = 3;$ if $sin\theta = - \frac{3}{5}$ $\Rightarrow cos\theta = \frac{4}{5}$ or $- \frac{4}{5}$ but $cos\theta \ne - \frac{4}{5}$ (think!)
hence $E = \frac{7}{5}$
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