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

Evaluate : $$\cos ^{-1}\left[\cos \left(-680^{\circ}\right)\right]+\sin ^{-1}\left[\sin \left(-600^{\circ}\right)\right]-\cos ^{-1}\left(\sin 270^{\circ}\right)$$

A
$$\frac{14 \pi}{9}$$
B
$$-\frac{5 \pi}{9}$$
C
$$-\frac{4 \pi}{9}$$
D
$$\pi$$
2
COMEDK 2024 Morning Shift
MCQ (Single Correct Answer)
+1
-0

If $$f(x)=f^{\prime}(x)$$ and $$f(1)=2$$, then $$f(3)$$ is

A
$$2 e^3$$
B
$$\log 8-3$$
C
$$2 e^2$$
D
6
3
COMEDK 2024 Morning Shift
MCQ (Single Correct Answer)
+1
-0

The equation of an ellipse, whose focus is $$(1,0)$$, directrix is $$x=4$$ and whose eccentricity is a root of the quadratic equation $$2 x^2-3 x+1=0$$, is

A
$$\frac{x^2}{4}+\frac{y^2}{3}=1$$
B
$$\frac{x^2}{3}+\frac{y^2}{4}=1$$
C
$$\frac{x^2}{2}+\frac{y^2}{3}=1$$
D
$$\frac{x^2}{3}+\frac{y^2}{8}=1$$
4
COMEDK 2024 Morning Shift
MCQ (Single Correct Answer)
+1
-0

If $$A=\left[\begin{array}{ccc}-1 & 1 & 2 \\ 1 & 2 & 3 \\ 3 & 1 & 1\end{array}\right]$$ then the inverse of $$(A I)^t$$ (where $$\mathrm{I}$$ is an identity matrix) is

A
$$ \left[\begin{array}{ccc} 1 & -8 & 5 \\ -1 & 7 & -4 \\ 1 & -5 & 3 \end{array}\right] $$
B
$$ \left[\begin{array}{ccc} -1 & 1 & -1 \\ 8 & -7 & 5 \\ -5 & 4 & -3 \end{array}\right] $$
C
$$ \left[\begin{array}{ccc} 1 & 8 & -5 \\ -1 & 7 & -4 \\ 0 & 5 & 3 \end{array}\right] $$
D
$$ \left[\begin{array}{ccc} 1 & -1 & 1 \\ -8 & 7 & -5 \\ 5 & -4 & 3 \end{array}\right] $$
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