1
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
2
NDA 2019 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
What is the value of $${{\sin 34^\circ \cos 236^\circ - \sin 56^\circ \sin 124^\circ } \over {\cos 28^\circ \cos 88^\circ + \cos 178^\circ \sin 208^\circ }}$$ ?
A
$$-$$ 2
B
$$-$$ 1
C
2
D
1
3
NDA 2019 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
tan54$$^\circ$$ can be expressed as
A
$${{\sin 9^\circ + \cos 9^\circ } \over {\sin 9^\circ - \cos 9^\circ }}$$
B
$${{\sin 9^\circ - \cos 9^\circ } \over {\sin 9^\circ + \cos 9^\circ }}$$
C
$${{\cos 9^\circ + \sin 9^\circ } \over {\cos 9^\circ - \sin 9^\circ }}$$
D
$${{\sin 36^\circ } \over {\cos 36^\circ }}$$
4
NDA 2019 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
Read the given information carefully and answer the given questions.

If $$p = X\cos \theta - Y\sin \theta $$,

$$q = X\sin \theta + Y\cos \theta $$ and

$${p^2} + 4pq + {q^2} = A{X^2} + B{Y^2}$$, $$0 \le \theta \le {\pi \over 2}$$.
What is the value of $$\theta$$ ?
A
$${\pi \over 2}$$
B
$${\pi \over 3}$$
C
$${\pi \over 4}$$
D
$${\pi \over 6}$$
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