1
NDA Mathematics 16 April 2023
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
For what value of m with m < 0, is the area bounded by the lines y = x, y = mx and x = 2 equal to 3 ?
A
$- \frac{1}{2}$
B
-1
C
$- \frac{3}{2}$
D
-2
2
NDA Mathematics 16 April 2023
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
What is the derivative of cosec(x°) ?  
A
-cosec(x°) cot(x°)  
B
$ -\frac{\pi}{180} \operatorname{cosec}\left(x^{\circ}\right) \cot \left(x^{\circ}\right) $
C
$\frac{\pi}{180} \operatorname{cosec}\left(x^{\circ}\right) \cot \left(x^{\circ}\right) $
D
$-\frac{\pi}{180} \operatorname{cosec}(x) \cot (x)$
3
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
$y=\frac{\left(x^2-2\right)}{2}$
4
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
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