1
NDA Mathematics 16 April 2023
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language

A solution of the differential equation

$\left(\frac{d y}{d x}\right)^2-x \frac{d y}{d x}=0 $ is

A
y = 2x
B
y = 2x + 4
C
y = x2 - 1
D
$y=\frac{\left(x^2-2\right)}{2}$
2
NDA Mathematics 16 April 2023
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
If f(x) = x2 + 2 and g(x) = 2x - 3, then what is (fog)(1) equal to ?
A
3
B
1
C
-2
D
-3
3
NDA Mathematics 16 April 2023
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
What is the range of the function f(x) = x + |x| if the domain is the set of real numbers ?  
A
(0, ∞)
B
[0, ∞)
C
(-∞, ∞)
D
[1, ∞)
4
NDA Mathematics 16 April 2023
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
If f(x) = x(4x2 - 3), then what is f(sinθ) equal to ?  
A
-sin3θ
B
-cos3θ
C
sin3θ
D
-sin4θ
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