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

$$ \text { Evaluate: } \cot ^{-1}\left(-\frac{3}{\sqrt{3}}\right)-\sec ^{-1}\left(-\frac{2}{\sqrt{2}}\right)-\operatorname{cosec}^{-1}(-1)-\tan ^{-1}(1) $$

A
$$\frac{\pi}{6}$$
B
$$-\frac{2 \pi}{3}$$
C
0
D
$$\frac{\pi}{3}$$
2
COMEDK 2024 Evening Shift
MCQ (Single Correct Answer)
+1
-0

The shaded region in the Venn diagram represents

COMEDK 2024 Evening Shift Mathematics - Sets and Relations Question 1 English

A
$$A^{\prime} \cap B$$
B
$$A \cap B$$
C
$$(A \cap B)^{\prime}$$
D
$$A^{\prime} \cap B^{\prime}$$
3
COMEDK 2024 Evening Shift
MCQ (Single Correct Answer)
+1
-0

$$ \text { The solution set for the inequality } 13 x-5<15 x+4<7 x+12 ; x \in W \text { is } $$

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

The general solution of the differential equation $$x \frac{d y}{d x}=y+x \tan \left(\frac{y}{x}\right)$$ is

A
$$ \sin \left(\frac{y}{x}\right)=\frac{C}{x} $$
B
$$ \sin \left(\frac{y}{x}\right)=C x $$
C
$$ \sin \left(\frac{x}{y}\right)=C x $$
D
$$ \sin \left(\frac{x}{y}\right)=C y $$
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