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CUET · MATHS · PYQ PAPER 2025

Match List-l with List-ll
List-lList-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) \(\frac{\pi}{2}\)
Choose the correct answer from the options given below :

  1. A (A) - (III), (B) - (IV), (C) - (I), (D) - (II)
  2. B (A) - (II), (B) - (IV), (C) - (III), (D) - (I)
  3. C (A) - (IV), (B) - (III), (C) - (II), (D) - (I)
  4. D (A) - (IV), (B) - (III), (C) - (I), (D) - (II)
Verified Solution

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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