CUET · MATHS · PYQ PAPER 2025
Match List-I with List-II
| List-I | List-II |
| (A) The vectors \(\lambda \hat{i}+\hat{j}+2 \hat{k}\) and \(\hat{i}+\lambda \hat{j}+\hat{k}\) are perpendicular if \(\lambda\) is equal to | (I) 1 |
| (B) The vectors \(3 \hat{i}+6 \hat{j}-\hat{k}\) and \(2 \hat{i}+\lambda \hat{j}-2 \hat{k}\) are collinear if \(\lambda\) is equal to | (II) -1 |
| (C) The number of vectors of unit-length which are perpendicular to both the vectors \(\vec{a}=\hat{i}+\hat{j}+2 \hat{k}\) and \(\vec{b}=3 \hat{i}-\hat{j}+5 \hat{k}\) is | (III) \(2 / 3\) |
| (D) If \(|\vec{a}|=1\) and \(\vec{a}+\vec{b}=\overrightarrow{0}\), then \(|\vec{b}|\) is equal to | (IV) 2 |
Choose the correct answer from the options given below :
- A (А) - (II), (B) - (III), (C) - (IV), (D) - (I)
- B (A) - (I), (B) - (IV), (C) - (II), (D) - (III)
- C (А) - (III), (В) - (IV), (C) - (II), (D) - (I)
- D (A) - (IV), (B) - (III), (C) - (II), (D) - (I)
Answer & Solution
Correct Answer
(A) (А) - (II), (B) - (III), (C) - (IV), (D) - (I)
Step-by-step Solution
Detailed explanation
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