CUET · MATHS · PYQ PAPER 2025
Match List-I with List-II
| List - I | List - II |
| (A) Angle between \(\hat{i}-\hat{j}\) and \(\hat{i}+\hat{j}\) | (I) \(\pi\) |
| (B) Angle between \(\hat{i}-\hat{j}+\hat{k}\) and \(-\hat{i}+\hat{j}-\hat{k}\) | (II) \(\frac{3 \pi}{4}\) |
| (C) Angle between \(\hat{i}+\hat{j}\) and \(-\hat{i}\) | (III) \(\frac{\pi}{4}\) |
| (D) Angle between \(\hat{i}+\hat{k}\) and \(\hat{k}\) | (IV) \(\frac{\pi}{2}\) |
- A (A) - (IV), (B) - (I), (C) - (II), (D) - (III)
- B (A) - (IV), (B) - (II), (C) - (III), (D) - (I)
- C (A) - (IV), (B) - (III), (C) - (II), (D) - (I)
- D (A) - (I), (B) - (II), (C) - (III), (D) - (IV)
Answer & Solution
Correct Answer
(A) (A) - (IV), (B) - (I), (C) - (II), (D) - (III)
Step-by-step Solution
Detailed explanation
(A) \(\vec{a} = \hat{i}-\hat{j}\), \(\vec{b} = \hat{i}+\hat{j}\) \(\vec{a} \cdot \vec{b} = (1)(1)+(-1)(1) = 0\) \(\cos\theta = 0 \implies \theta = \frac{\pi}{2}\) (A) - (IV) (B) \(\vec{a} = \hat{i}-\hat{j}+\hat{k}\), \(\vec{b} = -\hat{i}+\hat{j}-\hat{k} = -\vec{a}\)…
See the Complete Solution
Get step-by-step explanations for this and 2.5 Lakh+ more JEE, NEET & CET questions.
- Unlock all solutions
- Practice the full chapter
- Track accuracy across PYQs
4.8 rated on Google Play · 14,000+ reviews
More questions from MATHS
- The maximum number of equivalence relations on the set \(A=\{a, b, c\}\) is:CUET 2023 Medium
- Which of the following are correct?
(A) The function \(f(x)=3 x+12\) is increasing on \(R\).
(B) The function \(f(x)=e^{2 x}\) is decreasing on \(R\).
(C) The function \(f(x)=x^2-x+1\) is neither increasing nor decreasing on \((-1,1)\).
(D) The function \(f(x)=x^3-3 x^2+4 x\) is increasing on \(R\).
Choose the correct answer from the options given below :CUET 2025 Hard - \(\int \frac{\log _e x}{\left(1+\log _e x\right)^2} d x\)2 is equal toCUET 2025 Hard
- For the function \(f(x)=e^x+e^{-x}\)
(A) \(f^{\prime}(x)=e^x-e^{-x}\)
(B) The critical point is \(x=0\)
(C) The minimum value is 1
(D) \(x=0\) is the point of local minimum.
Choose the correct answer from the options given below:CUET 2025 Hard - If the system of equation
\(x-y+z=4\)
\(x-2 y-2 z=9\)
\(2 x+y+\lambda z=1\)
has a unique solution, thenCUET 2025 Hard - A sum of ₹ 60,000 invested at \(r \%\) compounded quarterly will provide payments at ₹ 600 each at the end of every three months. Then the value of \(r\) is :CUET 2023 Easy
More PYQs from CUET
- Which substance is produced by a cell in viral infection that protect other cells from further infection?CUET 2023 Medium
- The force between two electric charges is expressed by the equation : \( F = \frac{kq_1q_2}{r^2} \).
Which of the following is a correct statement ?CUET 2023 Easy - Two sources of light are said to be coherent when they emit light of
A. same wavelength
B. same amplitude
C. same intensity
D. constant phase difference
Choose the correct answer from the options given below:CUET 2023 Hard - Molar conductivity increases with......CUET 2025 Hard
- Let \(f: R \rightarrow R\) be defined as \(f(x)=3 x+4\). Choose the correct answer.CUET 2023 Medium
- Nitrogen in trimethylamine is \No Solution(\mathrm{sp}^3\) hybridized. The C-N-C bond angle is \(108^{\circ}\). The geometry of trimethylamine isCUET 2025 Medium