1
NDA Mathematics 14th September 2025
MCQ (Single Correct Answer)
+2.5
-0.833
Change Language
If $0\le x\le \frac{\pi }{2}$ then what is the number of values of x satisfying the equation $\tan x+\sec x=2\cos x$
1
0
2
1
3
2
4
3
2
NDA Mathematics 14th September 2025
MCQ (Single Correct Answer)
+2.5
-0.833
Change Language
What is the value of $\tan \left[\frac{1}{2}\sec ^{-1}\left(\frac{2}{\sqrt{3}}\right)\right]?$
1
$2-\sqrt{3}$
2
$2+\sqrt{3}$
3
$\sqrt{3}-1$
4
$\sqrt{3}+1$
3
NDA Mathematics 14th September 2025
MCQ (Single Correct Answer)
+2.5
-0.833
Change Language
For the following two (02) items:
A plane P is parallel to the line having direction ratios $\langle1, 3, 2\rangle $ and contains the line of intersection of the planes 6x + 4y - 5z = 2 and x - 2y + 3z = 0
Which of the following are the direction ratios of the line of intersection of the given planes?
1
$\langle2, 23, 16\rangle$
2
$\langle2, - 23, - 16\rangle$
3
$\langle2, 3, 2\rangle$
4
$ \langle- 1, 3, - 2\rangle$
4
NDA Mathematics 14th September 2025
MCQ (Single Correct Answer)
+2.5
-0.833
Change Language
For the following two (02) items:
A plane P is parallel to the line having direction ratios $\langle1, 3, 2\rangle $ and contains the line of intersection of the planes 6x + 4y - 5z = 2 and x - 2y + 3z = 0
What is the equation of the plane P?
1
 2x - 20y + 29z + 2 = 0
2
2x + 3y + 2z - 4 = 0
3
2x - 20y + 29z - 2 = 0
4
 x - 3y + 2z + 5 = 0