1
NDA Mathematics 10 April 2022
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
Let y = [x + 1], -4 < x < -3 where [.] is the greatest integer function. What is the derivative of y with respect to x at x = -3.5?
A
-4
B
-3.5
C
-3
D
0
2
NDA Mathematics 10 April 2022
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
If $\frac{dy}{dx} = (\ln 5)y $  with y(0) = ln 5, then what is y(1) equal to?
A
0
B
5
C
2 ln 5
D
5 ln 5
3
NDA Mathematics 10 April 2022
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language

Consider the following in respect of the function f(x) = 10x :

1. Its domain is (-∞, ∞)

2. It is a continuous function

3. It is differentiable at x = 0

Which of the above statements are correct?

A
1 and 2 only
B
2 and 3 only
C
1 and 3 only
D
1, 2 and 3
4
NDA Mathematics 10 April 2022
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
What is $\lim\limits_{x \to 0}x^3(\text{cosec} \ x)^2$ equal to ?
A
0
B
$\frac{1}{2}$
C
1
D
Limits does not exist
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