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

The function $$f(x)=[x]$$, where $$[x]$$ denotes the greatest integer less than or equal to $$x$$, is continuous at:

A
$$x=1$$
B
$$x=1.5$$
C
$$x=-2$$
D
$$x=4$$
2
CBSE 12th Mathematics Delhi Set 1 - 2023
MCQ (Single Correct Answer)
+1
-0

If $$x=A \cos 4 t+B \sin 4 t$$, then $$\frac{d^2 x}{d t^2}$$ is equal to:

A
$$x$$
B
$$-x$$
C
$$16 x$$
D
$$-16 x$$
3
CBSE 12th Mathematics Delhi Set 1 - 2023
MCQ (Single Correct Answer)
+1
-0

The interval in which the function $$f(x)=2 x^3+9 x^2 +12 x-1$$ is decreasing is :

A
$$(-1, \infty)$$
B
$$(-2,-1)$$
C
$$(-\infty,-2)$$
D
$$(-1,1)$$
4
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
$$-(\sec x+\tan x)+c$$
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