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

$$ \text { Value of } \cos 105^{\circ} \text { is } $$

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

The area bounded by the curve $$y=\cos x, x=0$$ and $$x=\pi$$ is

A
2 sq units
B
1 sq units
C
4 sq units
D
3 sq units
3
COMEDK 2024 Evening Shift
MCQ (Single Correct Answer)
+1
-0

$$ \text { If } I_n=\int_\limits0^{\frac{\pi}{4}} \tan ^n x d x \text {, for } n \geq 2 \text {, then } I_n+I_{n-2}= $$

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

In the expansion $$\left(\frac{1}{x}+x \sin x\right)^{10}, \quad$$ the co - efficient of $$6^{\text {th }}$$ term is equal to $$7 \frac{7}{8}$$, then the principal value of $$x$$ is

A
$$45^{\circ}$$
B
$$60^{\circ}$$
C
$$25^{\circ}$$
D
$$30^{\circ}$$
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