1
MHT CET 2026 17th April Morning Shift
MCQ (Single Correct Answer)
+2
-0
The number 28 is divided into two positive parts such that the sum of the cube of one part and the square of the other part is minimum, then the absolute difference between the two parts is
A
$24$
B
$12$
C
$8$
D
$20$
2
MHT CET 2025 5th May Evening Shift
MCQ (Single Correct Answer)
+2
-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)

A

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

B

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

C

$2 \mathrm{a}^2$

D

$4 \mathrm{a}^2$

3
MHT CET 2025 5th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

The minimum value of the slope of the tangent to curve $y=x^3-3 x^2+2 x+93$ is

A

1

B

-1

C

2

D

-2

4
MHT CET 2025 5th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

The approximate value of $\frac{1}{(2.002)^2}$ is

A

0.2495

B

0.2595

C

0.2095

D

0.2392

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