MHT CET 2026 13th April Evening Shift | MHT CET Year Wise Previous Years Questions

MHT CET 2026 13th April Evening Shift

MCQ (Single Correct Answer)

-0

If $\bar{a}, \bar{b}$ and $\bar{c}$ are non-coplanar unit vectors such that the angle between any two of them is $60^\circ$, and the vector $\bar{d} = x\bar{a} + y\bar{b} + z\bar{c}$ is perpendicular to both $\bar{a}$ and $\bar{b}$, then the value of $\dfrac{(x+y)}{z}$ is

$-\dfrac{1}{2}$

$-\dfrac{2}{3}$

$-1$

$0$

MHT CET 2026 13th April Evening Shift

MCQ (Single Correct Answer)

-0

If $\bar{a}, \bar{b}, \bar{c}$ are three non zero and non-coplanar vectors such that $\bar{a} \times (\bar{b} \times \bar{c}) = \dfrac{\bar{b}}{2}$, then the angle between $\bar{a}$ and $\bar{b}$ is ...

$\dfrac{\pi}{6}$

$\dfrac{\pi}{3}$

$\dfrac{\pi}{2}$

$\pi$

MHT CET 2026 13th April Evening Shift

MCQ (Single Correct Answer)

-0

The vector equation of the plane which is at a distance of $5$ units from the origin and normal to the vector $2\hat{i} + \hat{j} - 2\hat{k}$ is

$\vec{r} \cdot (2\hat{i} + \hat{j} - 2\hat{k}) = 12$

$\vec{r} \cdot (2\hat{i} + \hat{j} - 2\hat{k}) = 15$

$\vec{r} \cdot (2\hat{i} + \hat{j} - 2\hat{k}) = 9$

$\vec{r} \cdot (2\hat{i} + \hat{j} - 2\hat{k}) = 18$