WBJEE · Maths · Trigonometric Ratios & Identities
The smallest positive root of the equation \(\tan x-x=0\) lies in
- A \(\left(0, \frac{\pi}{2}\right)\)
- B \(\left(\frac{\pi}{2}, \pi\right)\)
- C \(\left(\pi, \frac{3 \pi}{2}\right)\)
- D \(\left(\frac{3 \pi}{2}, 2 \pi\right)\)
Answer & Solution
Correct Answer
(C) \(\left(\pi, \frac{3 \pi}{2}\right)\)
Step-by-step Solution
Detailed explanation
Given equation is \(\tan x-x=0\) \(\tan x=x\) Solutions are abscissae of points of intersection of the curves \(y=\tan x\) and \(y=x\). From the figure, it is clearty visible that solution lies in \(\left(\pi, \frac{3 \pi}{2}\right)\)
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