1
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
$$\left| {{a^2} + {b^2}} \right|$$
2
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$$\beta$$
3
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
4
NDA 2019 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
Consider the following statements

1. cos $$\theta$$ + sec $$\theta$$ can never be equal to 1.5 .

2. tan $$\theta$$ + cot $$\theta$$ can never be less than 2 .

Which of the above statements is/are correct?
A
Only 1
B
Only 2
C
Both 1 and 2
D
Neither 1 nor 2
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