1
MHT CET 2026 15th April Morning Shift
MCQ (Single Correct Answer)
+2
-0
The co-ordinates of the point on the curve $y = x\log x$ at which the normal is parallel to the line $2x - 2y = 3$ are...
A
$(0, 0)$
B
$(e, e)$
C
$(e^2, 2e^2)$
D
$(e^{-2}, -2e^{-2})$
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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