1
NDA 2016 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
Given that tan$$\alpha$$ and tan$$\beta$$ are the roots of the equation x2 + bx + c = 0 with b $$\ne$$ 0.
What is tan ($$\alpha$$ + $$\beta$$) equal to?
A
b(c $$-$$ 1)
B
c(b $$-$$ 1)
C
c(b $$-$$ 1)$$-$$1
D
b(c $$-$$ 1)$$-$$1
2
NDA 2016 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
Given that tan$$\alpha$$ and tan$$\beta$$ are the roots of the equation x2 + bx + c = 0 with b $$\ne$$ 0.
What is $$\sin (\alpha + \beta )sec\alpha sec\beta $$ equal to?
A
b
B
$$-$$b
C
c
D
$$-$$c
3
NDA 2016 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
Consider the equation $$k\sin x + \cos 2x = 2k - 7$$
If the equation possesses solution, then what is the minimum value of k?
A
1
B
2
C
4
D
6
4
NDA 2016 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
Consider the equation $$k\sin x + \cos 2x = 2k - 7$$
If the equation possesses solution, then what is the maximum value of k?
A
1
B
2
C
4
D
6
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