1
NDA 2016 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
Consider a $$\Delta$$ABC in which $$\cos A + \cos B + \cos C = \sqrt 3 \sin {\pi \over 3}$$
What is the value of $$\sin {A \over 2}\sin {B \over 2}\sin {C \over 2}$$ ?
A
$${1 \over 2}$$
B
$${1 \over 4}$$
C
$${1 \over 8}$$
D
$${1 \over 16}$$
2
NDA 2016 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
Consider a $$\Delta$$ABC in which $$\cos A + \cos B + \cos C = \sqrt 3 \sin {\pi \over 3}$$
What is the value of $$\cos \left( {{{A + B} \over 2}} \right)\cos \left( {{{B + C} \over 2}} \right)\cos \left( {{{C + A} \over 2}} \right)$$ ?
A
$${1 \over 4}$$
B
$${1 \over 2}$$
C
$${1 \over 16}$$
D
None of these
3
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
4
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
EXAM MAP
Medical
NEETAIIMS
Graduate Aptitude Test in Engineering
GATE CSEGATE ECEGATE EEGATE MEGATE CEGATE PIGATE IN
Civil Services
UPSC Civil Service
Defence
NDA
Staff Selection Commission
SSC CGL Tier I
CBSE
Class 12