CUET · MATHS · PYQ PAPER 2023
Match List I with List II
| LIST I | LIST II |
| A. If \(4 \sin ^{-1} x+\cos ^{-1} x=\pi\), then \(x\) equal to | I. \(\frac{\pi}{2}\) |
| B. The value of \(\frac{1-\tan ^2 15^{\circ}}{1+\tan ^2 15^{\circ}}\) is | II. \(\frac{1}{2}\) |
| C. If \(x+\frac{1}{x}=2\), then principal value of \(\sin ^{-1} x\) is | III. \(\frac{3 \pi}{4}\) |
| D. Two angles of a triangle are \(\cot ^{-1} 2\) and \(\cot ^{-1} 3\), then third angle is | IV. \(\frac{\sqrt{3}}{2}\) |
- A A-II, B-IV, C-I, D-III
- B A-III, B-I, C-IV, D-II
- C A-I, B-II, C-III, D-IV
- D A-IV, B-III, C-II, D-I
Answer & Solution
Correct Answer
(A) A-II, B-IV, C-I, D-III
Step-by-step Solution
Detailed explanation
A. \(4 \sin ^{-1} x+\cos ^{-1} x=\pi\) \(3 \sin ^{-1} x + (\sin ^{-1} x + \cos ^{-1} x) = \pi\) \(3 \sin ^{-1} x + \frac{\pi}{2} = \pi\) \(3 \sin ^{-1} x = \frac{\pi}{2}\) \(\sin ^{-1} x = \frac{\pi}{6}\) \(x = \frac{1}{2}\) B.…
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