MHT CET 2026 19th April Morning Shift | Application of Derivatives Question 11 | Mathematics

A particle is fired straight up from the ground. Its height in feet after $t$ second is given by $s(t) = 128t - 16t^2$. The velocity of the particle when it hits the ground is...

$-128$ ft/sec

$128$ ft/sec

$0$ ft/sec

$256$ ft/sec

MHT CET 2026 19th April Morning Shift

MCQ (Single Correct Answer)

-0

The value of $c$ satisfied by the Rolle's theorem for the function $f(x) = x^2(1 - x)^2$, $x \in [0, 1]$ is...

$0$

$1$

$\dfrac{1}{2}$

$-1$

MHT CET 2026 19th April Morning Shift

MCQ (Single Correct Answer)

-0

The value of $x$ so that the volume of the parallelopiped formed by the vectors $\hat{i} + x\hat{j} + \hat{k}$, $\hat{j} + x\hat{k}$ and $x\hat{i} + \hat{k}$ is minimum, is

$-3$

$3$

$\dfrac{1}{\sqrt{3}}$

$\sqrt{3}$

MHT CET 2025 5th May Evening Shift

MCQ (Single Correct Answer)

-0

The area of the triangle formed by the co-ordinate axes and a tangent to the curve $x y=\mathrm{a}^2$ at the point $\left(x_1, y_1\right)$ is _______ sq. units (where a, $x_1$ and $y_1$ are non-zero)

$\frac{\mathrm{a}^2 x_1}{y_1}$

$\frac{\mathrm{a}^2 y_1}{x_1}$

$2 \mathrm{a}^2$

$4 \mathrm{a}^2$

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