1
COMEDK 2024 Afternoon Shift
MCQ (Single Correct Answer)
+1
-0

$$\text { Which of the following function is injective? }$$

A
$$ f(x)=x^2+2, x \in(-\infty, \infty) $$
B
$$ f(x)=|x+2|, x \in[-2, \infty) $$
C
$$ f(x)=\frac{4 x^2+3 x-5}{4+3 x-5 x^2}, x \in(-\infty, \infty) $$
D
$$ f(x)=(x-4)(x-5), x \in(-\infty, \infty) $$
2
COMEDK 2024 Afternoon Shift
MCQ (Single Correct Answer)
+1
-0

$$ \int_\limits{-\frac{\pi}{2}}^{\frac{\pi}{2}} \sqrt{\cos x-\cos ^3 x} d x \text { is equal to } $$

A
$$ \frac{4}{3} $$
B
$$ -\frac{1}{3} $$
C
0
D
$$ -\frac{2}{3} $$
3
COMEDK 2024 Afternoon Shift
MCQ (Single Correct Answer)
+1
-0

$$ \int \log x(\log x+2) d x \text { equals to } $$

A
$$ x\left[1+(\log x)^2\right]+C $$
B
$$ x(1+\log x)^2+C $$
C
$$ 2 x \log x+C $$
D
$$ x(\log x)^2+C $$
4
COMEDK 2024 Afternoon Shift
MCQ (Single Correct Answer)
+1
-0

$$ \text { If } A=\left[\begin{array}{cc} 1 & -2 \\ 4 & 5 \end{array}\right] \text { and } f(t)=t^2-3 t+7 \text { then } f(A)+\left[\begin{array}{cc} 3 & 6 \\ -12 & -9 \end{array}\right] \text { is } $$

A
$$ \left[\begin{array}{ll} 0 & 1 \\ 1 & 0 \end{array}\right] $$
B
$$ \left[\begin{array}{ll} 1 & 1 \\ 0 & 0 \end{array}\right] $$
C
$$ \left[\begin{array}{ll} 1 & 0 \\ 0 & 1 \end{array}\right] $$
D
$$ \left[\begin{array}{ll} 0 & 0 \\ 0 & 0 \end{array}\right] $$
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