1
COMEDK 2025 Afternoon Shift
MCQ (Single Correct Answer)
+1
-0
The curve $4 y=3 x^4-2 x^2$ attains ----------- at the points $x=-\frac{1}{\sqrt{3}}$ and $x=\frac{1}{\sqrt{3}}$
A
both minimum values
B
a maximum value and a minimum value respectively
C
a minimum value and a maximum value respectively
D
both maximum values
2
COMEDK 2025 Afternoon Shift
MCQ (Single Correct Answer)
+1
-0
$x=a(\theta+\sin \theta)$ and $y=a(1-\cos \theta)$ represents the equation of a curve. If $\theta$ changes at a constant rate $k$ then the rate of change of the slope of the tangent to the curve at $\theta=\frac{\pi}{3}$ is
A
$2 k$
B
$\frac{k}{3}$
C
$\frac{2 k}{\sqrt{3}}$
D
$\frac{2 k}{3}$
3
COMEDK 2025 Afternoon Shift
MCQ (Single Correct Answer)
+1
-0

Quadrilateral PQRS is inscribed inside a rectangle of dimensions $10 \mathrm{~cm} \times 8 \mathrm{~cm}$. The value of ' $x$ ', if the area of the quadrilateral is minimum is

COMEDK 2025 Afternoon Shift Mathematics - Application of Derivatives Question 1 English

A
4 cm
B
6.5 cm
C
9 cm
D
4.5 cm
4
COMEDK 2025 Afternoon Shift
MCQ (Single Correct Answer)
+1
-0
The least area of a circle circumscribing any right-angle triangle of area $\frac{9}{\pi}$ sq units is
A
9 sq units
B
$\pi$ sq units
C
$9 \pi$ sq units
D
4.5 sq units
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