1
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
2
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
3
NDA 2019 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
What is the length of the chord of a unit circle which subtends an angle $$\theta$$ at the centre?
A
$$\sin \left( {{\theta \over 2}} \right)$$
B
$$\cos \left( {{\theta \over 2}} \right)$$
C
$$2\sin \left( {{\theta \over 2}} \right)$$
D
$$2\cos \left( {{\theta \over 2}} \right)$$
4
NDA 2019 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
What is the least value of $$25\cos e{c^2}x + 36{\sec ^2}x$$ ?
A
1
B
11
C
120
D
121
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