1
NDA Mathematics 14 November 2021
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
The tangent to the curve x2 = y at (1, 1) makes an angle θ with the positive direction of x-axis. Which one of the following is correct?
A
$\rm \theta < \frac{\pi}{6}$
B
$\rm \frac{\pi}{6} < \theta < \frac{\pi}{4}$
C
$\rm \frac{\pi}{4} < \theta < \frac{\pi}{3}$
D
$\rm \frac{\pi}{3} < \theta < \frac{\pi}{2}$
2
NDA Mathematics 18 April 2021
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language

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

1. f(x) increases in the interval (0, π).

2. f(x) decreases in the interval $\left(\dfrac{5\pi}{2},3\pi\right).$

Which of the above statements is/are correct?

A
1 only
B
2 only
C
Both 1 and 2
D
Neither 1 nor 2
3
NDA Mathematics 18 April 2021
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
The curve y = -x3 + 3x2 + 2x - 27 has the maximum slope at:
A
x = -1
B
x = 0
C
x = 1
D
x = 2
4
NDA Mathematics 18 April 2021
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
If x + y = 20 and P = xy, then what is the maximum value of P?
A
100
B
96
C
84
D
50
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