1
NDA Mathematics 14 November 2021
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
What is the maximum area of a rectangle that can be inscribed in a circle of radius 2 units?
A
4 square units
B
6 square units
C
8 square units
D
16 square units
2
NDA Mathematics 14 November 2021
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
What is the condition that f(x) = x3 + x2 + kx has no local extremum?
A
4k < 1
B
3k > 1
C
3k < 1
D
3k ≤ 1
3
NDA Mathematics 14 November 2021
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
If the function f(x) = x2 - kx is monotonically increasing in the interval (1, ∞), then which one of the following is correct?
A
k < 2
B
2 < k < 3
C
3 < k < 4
D
k > 4
4
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
$\rm \frac{\pi}{3} < \theta < \frac{\pi}{2}$
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