MHT CET 2025 5th May Evening Shift | MHT CET Year Wise Previous Years Questions

MHT CET 2025 5th May Evening Shift

MCQ (Single Correct Answer)

-0

A line L is passing through points $\mathrm{A}(1,3,2)$ and $\mathrm{B}(2,2,1)$. If mirror image of point $\mathrm{P}(1,1,-1)$ in the line L is $(x, y, z)$ then $x+y+\mathrm{z}=$

$\frac{10}{3}$

$\frac{13}{3}$

$\frac{14}{3}$

$\frac{23}{3}$

MHT CET 2025 5th May Evening Shift

MCQ (Single Correct Answer)

-0

If $\overline{\mathrm{c}}=5 \overline{\mathrm{a}}+6 \overline{\mathrm{~b}}$ and $3 \overline{\mathrm{c}}=\overline{\mathrm{a}}-4 \overline{\mathrm{~b}}$ then

$\bar{a}, \bar{b}, \bar{c}$ are non-collinear

$\overline{\mathrm{a}}, \overline{\mathrm{b}}, \overline{\mathrm{c}}$ are in the same direction

$\overline{\mathrm{a}}, \overline{\mathrm{c}}$ are in the same direction but $\overline{\mathrm{a}}, \overline{\mathrm{b}}$ are in the opposite direction

$\overline{\mathrm{c}}, \overline{\mathrm{b}}$ are in the opposite direction and $\overline{\mathrm{a}}, \overline{\mathrm{b}}$ are in the same direction

MHT CET 2025 5th May Evening Shift

MCQ (Single Correct Answer)

-0

The equation $x^2-3 x y+2 y^2+3 x-5 y+2=0$ represents a pair of straight lines. If $\theta$ is the angle between them, then the value of $\cos \theta$ is equal to

$\frac{1}{3 \sqrt{2}}$

$\frac{3}{\sqrt{10}}$

$\frac{2}{\sqrt{10}}$

$\frac{1}{5 \sqrt{2}}$

MHT CET 2025 5th May Evening Shift

MCQ (Single Correct Answer)

-0

$$ \cot ^{-1}\left(2 \cdot 1^2\right)+\cot ^{-1}\left(2 \cdot 2^2\right)+\cot ^{-1}\left(2 \cdot 3^2\right)+\ldots \ldots \ldots \infty= $$

$\frac{\pi}{2}$

$\frac{\pi}{3}$

$\frac{\pi}{4}$

$\frac{\pi}{8}$