WBJEE · Maths · Functions
The smallest value of \(5 \cos \theta+12\) is
- A 5
- B 12
- C 7
- D 17
Answer & Solution
Correct Answer
(C) 7
Step-by-step Solution
Detailed explanation
\[ \begin{aligned} & \text { Hints : } 5 \cos \theta+12,-1 \leq \cos \theta \leq 1 \\ & \Rightarrow-5 \leq 5 \cos \theta \leq 5 \\ & \therefore 5 \cos \theta+12 \geq-5+12 \Rightarrow 5 \cos \theta+12 \geq 7 \end{aligned} \]
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