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

If $$a$$ is a real number such that $$\int_\limits0^a x d x \leq a+4$$ then

A
$$ -2 \leq a \leq 0 $$
B
$$ 0 \leq a \leq 4 $$
C
$$ -2 \leq a \leq 4 $$
D
$$ a \leq-2 \text { or } a \geq 4 $$
2
COMEDK 2024 Evening Shift
MCQ (Single Correct Answer)
+1
-0

Find the value of '$$b$$' such that the scalar product of the vector $$\hat{\imath}+\hat{\jmath}+\hat{k}$$ with the unit vector parallel to the sum of the vectors $$2 \hat{\imath}+4 \hat{\jmath}-5 \hat{k}$$ and $$b \hat{\imath}+2 \hat{\jmath}+3 \hat{k}$$ is unity

A
$$-2$$
B
0
C
$$-1$$
D
1
3
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
$$-\frac{(1-\sqrt{3})}{2 \sqrt{2}}$$
4
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
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