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1
MHT CET 2026 20th April Morning Shift
MCQ (Single Correct Answer)
+2
-0
If the line $ax + by + 5 = 0$ is a normal to the curve $xy = 1$ then .....
A
$a > 0, b < 0$
B
$a < 0, b < 0$
C
$a > 0, b = 0$
D
$a > 0, b > 0$
2
MHT CET 2026 20th April Morning Shift
MCQ (Single Correct Answer)
+2
-0
On the interval $[0, 1]$, the function $f(x) = x^{25}(1 - x)^{75}$ attains its maximum value at the point $x = $....
A
$0$
B
$\dfrac{1}{4}$
C
$\dfrac{1}{2}$
D
$\dfrac{1}{3}$
3
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

$4 \mathrm{a}^2$

4
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

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Some Basic Concepts of Chemistry Atomic Structure States of Matter Thermodynamics Chemical Equilibrium Ionic Equilibrium Liquid Solution Redox Reactions Surface Chemistry Solid State Electrochemistry Chemical Kinetics Nuclear Chemistry
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