1
COMEDK 2023 Evening Shift
MCQ (Single Correct Answer)
+1
-0

A triangular park is enclosed on two sides by a fence and on the third side by a straight river bank. The two sides having fence are of same length $$x$$. The maximum area enclosed by the park is

A
$$ \sqrt{\frac{x^3}{8}} $$
B
$$ \pi x^2 $$
C
$$ \frac{3}{2} x^2 $$
D
$$ \frac{1}{2} x^2 $$
2
COMEDK 2023 Evening Shift
MCQ (Single Correct Answer)
+1
-0

$$ \text { Let } f(x)=\cos ^{-1}(3 x-1) \text {, then domain of } f(x) \text { is equal to } $$

A
$$ \left[0, \frac{2}{3}\right] $$
B
$$ \left(0, \frac{2}{3}\right) $$
C
$$ \left(-\frac{2}{3}, \frac{2}{3}\right) $$
D
$$ \left[-\frac{2}{3}, \frac{2}{3}\right] $$
3
COMEDK 2023 Evening Shift
MCQ (Single Correct Answer)
+1
-0

The solution of the differential equation $$\frac{d y}{d x}+y \cos x=\frac{1}{2} \sin 2 x$$

A
$$ y e^{\sin x}=e^{\sin x}(\sin x+1)+c $$
B
$$ y e^{\sin x}=e^{\sin x}(\sin x-1)+c $$
C
$$ y e^{\sin 2 x}=e^{\sin 2 x}(\sin x-1)+c $$
D
$$ y e^{\cos x}=e^{\sin x}(\cos x-1)+c $$
4
COMEDK 2023 Evening Shift
MCQ (Single Correct Answer)
+1
-0

The area bounded by the curve $$y^2=4 a^2(x-1)$$ and the lines $$x=1, y=4 a$$ is

A
$$ \frac{16}{3} a \text { sq units } $$
B
$$ \frac{16}{3} a^2 \text { squnits } $$
C
$$ 16 a^2 \text { squnits } $$
D
$$ 4 a^2 \text { sq units } $$
EXAM MAP
Medical
NEETAIIMS
Graduate Aptitude Test in Engineering
GATE CSEGATE ECEGATE EEGATE MEGATE CEGATE PIGATE IN
Civil Services
UPSC Civil Service
Defence
NDA
Staff Selection Commission
SSC CGL Tier I
CBSE
Class 12