1
NDA Mathematics 14 November 2021
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language

What is the value of following?

$\rm cot \left[sin^{-1} \frac{3}{5}+cot^{-1}\frac{3}{2} \right]$

A
$\frac{6}{17}$
B
$\frac{7}{16}$
C
$\frac{16}{7}$
D
$\frac{17}{6}$
2
NDA Mathematics 14 November 2021
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
What is the slope of the tangent of y = cos-1 (cos x) at x = $-\frac{\pi}{4}$?
A
-1
B
0
C
1
D
2
3
NDA Mathematics 18 April 2021
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
$\rm tan^{-1}x+cot^{-1}x=\frac{\pi}{2}$ holds, when
A
x ∈ R
B
x ∈ R - (-1, 1) only
C
x ∈ R - {0} only
D
x ∈ R - [-1, 1] only
4
NDA Mathematics 18 April 2021
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
The equation $sin^{-1}x-cos^{-1}x=\frac{\pi}{6}$ has
A
no solution
B
unique solution
C
two solutions
D
infinite number of solutions
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