1
NDA 2019 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
If $$\tan A - \tan B = x$$ and $$\cot B - \cot A = y$$, then what is the value of $$\cot (A - B)$$ ?
A
$${1 \over x} + {1 \over y}$$
B
$${1 \over y} - {1 \over x}$$
C
$${{xy} \over {x + y}}$$
D
$$1 + {1 \over {xy}}$$
2
NDA 2019 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
What is the minimum value of $${{{a^2}} \over {{{\cos }^2}x}} + {{{b^2}} \over {{{\sin }^2}x}}$$ where a > 0 and b > 0 ?
A
$${(a + b)^2}$$
B
$${(a - b)^2}$$
C
$${a^2} + {b^2}$$
D
$$\left| {{a^2} + {b^2}} \right|$$
3
NDA 2019 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
What is $$\sin (\alpha + \beta ) - 2sin\alpha cos\beta + sin(\alpha - \beta )$$ equal to?
A
0
B
2 sin$$\alpha$$
C
2 sin$$\beta$$
D
sin$$\alpha$$ + sin$$\beta$$
4
NDA 2019 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
If $$\cos ec\theta = {{29} \over {21}}$$, where 0 < $$\theta$$ < 90$$^\circ$$, then what is the value of 4 sec$$\theta$$ + 4 tan$$\theta$$ ?
A
5
B
10
C
15
D
20
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