1
CBSE 12th Mathematics Delhi Set 1 - 2023
MCQ (Single Correct Answer)
+1
-0

$$\int \frac{\sec x}{\sec x-\tan x} d x$$ equals:

A
$$\sec x-\tan x+c$$
B
$$\sec x+\tan x+c$$
C
$$\tan x-\sec x+c$$
D
$$-(\sec x+\tan x)+c$$
2
CBSE 12th Mathematics Delhi Set 1 - 2023
MCQ (Single Correct Answer)
+1
-0

$$\int_\limits{-1}^1 \frac{|x-2|}{x-2} d x, x \neq 2 \text { is equal to: }$$

A
1
B
$$-$$1
C
2
D
$$-$$2
3
CBSE 12th Mathematics Delhi Set 1 - 2023
MCQ (Single Correct Answer)
+1
-0

The sum of the order and the degree of the differential equation $$\frac{d}{d x}\left(\left(\frac{d y}{d x}\right)^3\right)$$ is:

A
2
B
3
C
5
D
0
4
CBSE 12th Mathematics Delhi Set 1 - 2023
MCQ (Single Correct Answer)
+1
-0

Two vector $$\vec{a}=a_1 \hat{i}+a_2 \hat{j}+a_3 \hat{k} \quad$$ and $$\vec{b}=b_1 \hat{i}+b_2 \hat{j}+b_3 \hat{k}$$ are collinear if:

A
$$a_1 b_1+a_2 b_2+a_3 b_3=0$$
B
$$\frac{a_1}{b_1}=\frac{a_2}{b_2}=\frac{a_3}{b_3}$$
C
$$a_1=b_1, a_2=b_2, a_3=b_3$$
D
$$a_1+a_2+a_3=b_1+b_2+b_3$$
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