CUET · MATHS · PYQ PAPER 2025
The coordinates of the image of the point \(\mathbf{P}(5,4,2)\) in the line \(\vec{r}=(-\hat{i}+3 \hat{j}+\hat{k})+\lambda(2 \hat{i}+3 \hat{j}-\hat{k})\), where \(\lambda\) is a parameter, is
- A (3,8,-2)
- B (-3,8,2)
- C (-3,8,-2)
- D (3,8,2)
Answer & Solution
Correct Answer
(C) (-3,8,-2)
Step-by-step Solution
Detailed explanation
Let the point be \(P(5,4,2)\) and the line be \(\vec{r}=(-\hat{i}+3 \hat{j}+\hat{k})+\lambda(2 \hat{i}+3 \hat{j}-\hat{k})\). General point \(M\) on the line: \(M(-1+2\lambda, 3+3\lambda, 1-\lambda)\). Vector…
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 particular solution of the differential equation \(\left\{x \sin ^2\left(\frac{y}{x}\right)-y\right\} d x+x d y=0, y=\frac{\pi}{4}\) when \(x=1\) isCUET 2025 Medium
- The angle between the line \(\frac{x+1}{2}=\frac{y}{3}=\frac{z-3}{6}\) and the plane \(10 x+2 y-11 z=3\) is :CUET 2023 Easy
- If \(A=\left[a_{i j}\right]\) is a square matrix of order 2 such that, \(a_{i j}=\left\{\begin{array}{ll}2, & \text { when } i \neq j \\ 0, & \text { when } i=j\end{array}\right.\), then \(\operatorname{det}\left(A^2\right)\) is:CUET 2025 Easy
- Increase in the number of patients in the hospitals due to heat stroke is:CUET 2025 Hard
- If \(x=a t^2\) and \(y=a^3 t^3\), then \(\frac{d^2 y}{d x^2}\) will be :CUET 2023 Medium
- The integral value of \(k\) for which the system of linear equations
\(\begin{array}{l}k x+y+2 z=0 \\k y=x-3 z \\2 x+y+k z=0\end{array}\)
has a non-zero solution is :CUET 2025 Medium
More PYQs from CUET
- Let \(A=\left[\begin{array}{ccc}1 & -2 & 3 \\ 1 & 2 & 1 \\ \lambda & 2 & -3\end{array}\right]\). If \(A^{-1}\) does not exist, then \(\lambda=\)CUET 2023 Easy
- The value of the determinant \(\left|\begin{array}{ccc}a+1 & b & c \\ a & b+1 & c \\ a & b & c+1\end{array}\right|\) is :CUET 2023 Easy
- Select the intra uterine devices from the following:
(A) Multiload 375
(B) Saheli
(C) Cervical caps
(D) Progestasert
Choose the correct answer from the options given below:CUET 2025 Hard - Let \(x=t^2, y=t^3\). Then \(\frac{d^2 y}{d x^2}\) is equal toCUET 2025 Easy
- The point on the curve \(x^2=2 y\) in the I quadrant which is nearest to the point (0, 5) is:CUET 2023 Medium
- In Young's double slit experiment using monochromatic light of wavelength \(\lambda\) the intensity of light at a point on the screen is 20 units, where the path difference is \(\lambda\). The intensity of light at a point having the path difference \(\lambda / 4\) isCUET 2025 Hard