MHT CET 2026 20th April Morning Shift | MHT CET Year Wise Previous Years Questions

MHT CET 2026 20th April Morning Shift

MCQ (Single Correct Answer)

-0

A plane meets the co-ordinate axes in A, B, C such that the centroid of the triangle ABC is the point $(1, r, r^2)$, then the equation of the plane is,

$x + ry + r^2 z = 3r^2$

$r^2 x + ry + z = 3r^2$

$x + ry + r^2 z = 3$

$r^2 x + ry + z = 3$

MHT CET 2026 20th April Morning Shift

MCQ (Single Correct Answer)

-0

If M denotes the midpoint of the line joining A$(4, 5, -10)$ and B$(-1, 2, 1)$, then the equation of the plane through M and perpendicular to AB is:

$\bar{r} \cdot \left(-5\hat{i} - 3\hat{j} + 11\hat{k}\right) + \dfrac{135}{2} = 0$

$\bar{r} \cdot \left(\dfrac{3}{2}\hat{i} + \dfrac{7}{2}\hat{j} - \dfrac{9}{2}\hat{k}\right) + \dfrac{135}{2} = 0$

$\bar{r} \cdot \left(4\hat{i} + 5\hat{j} - 10\hat{k}\right) + 4 = 0$

$\bar{r} \cdot \left(-\hat{i} + 2\hat{j} + \hat{k}\right) + 4 = 0$

MHT CET 2026 20th April Morning Shift

MCQ (Single Correct Answer)

-0

The difference between the maximum value and the minimum value of the objective function $z = 3x + y$ subject to the constraints $2x + 3y \leq 6$, $x + y \geq 1$, $x \geq 0$, $y \geq 0$ is....

$7$

$3$

$8$

$1$

MHT CET 2026 20th April Morning Shift

MCQ (Single Correct Answer)

-0

A random variable $X \sim B(n, p)$ follows a binomial distribution with $n = 6$. If $9P(X = 4) = P(X = 2)$, then the probability of success $p$ is..

$0.125$

$0.75$

$0.25$

$0.375$