CUET · MATHS · PYQ PAPER 2025
Match List-l with List-ll
| List-l | List-ll |
| (A) Angle between \(\hat{i}\) and \(-\hat{j}\) is | (I) \(\frac{\pi}{6}\) |
| (B) Angle between \(2 \hat{i}+\hat{k}\) and \(10 \hat{i}+5 \hat{k}\) is | (II) \(\frac{\pi}{4}\) |
| (C) Angle between \(\hat{i}\) and \(\hat{i}+\hat{j}\) is | (III) \(2 \pi\) |
| (D) Angle between \(\sqrt{3} \hat{j}-\hat{k}\) and \(\hat{j}\) is | (IV) \(\frac{\pi}{2}\) |
- A (A) - (III), (B) - (IV), (C) - (I), (D) - (II)
- B (A) - (II), (B) - (IV), (C) - (III), (D) - (I)
- C (A) - (IV), (B) - (III), (C) - (II), (D) - (I)
- D (A) - (IV), (B) - (III), (C) - (I), (D) - (II)
Answer & Solution
Correct Answer
(C) (A) - (IV), (B) - (III), (C) - (II), (D) - (I)
Step-by-step Solution
Detailed explanation
(A) Angle between \(\hat{i}\) and \(-\hat{j}\): \(\vec{a} = \hat{i}\), \(\vec{b} = -\hat{j}\) \(\vec{a} \cdot \vec{b} = (\hat{i}) \cdot (-\hat{j}) = 0\) \(\theta = \cos^{-1}(0) = \frac{\pi}{2}\) (A) - (IV) (B) Angle between \(2 \hat{i}+\hat{k}\) and \(10 \hat{i}+5 \hat{k}\):…
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