1
NDA Mathematics 3 September 2023
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language

Consider the following for the next items that follow:

Let sin x + sin y = √3 (cos y - cos x); x + y = $\rm \frac{\pi}{2}$, x < x, y < $\rm \frac{\pi}{2}$

What is a value of sin 3x + sin 3y?
A
-1
B
0
C
1
D
3
2
NDA Mathematics 3 September 2023
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language

Consider the following for the next items that follow:

Let sin x + sin y = √3 (cos y - cos x); x + y = $\rm \frac{\pi}{2}$, x < x, y < $\rm \frac{\pi}{2}$

What is a value of cos3 x + cos3 y?
A
$ \frac{3 \sqrt{3}}{8}$
B
$ \frac{3 \sqrt{6}}{8} $
C
$ \frac{3 \sqrt{6}}{4}$
D
1
3
NDA Mathematics 3 September 2023
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language

Consider the following for the next items that follow:

The angles A, B and C of a triangle ABC are in the ratio 3 ∶ 5 ∶ 4.

What is the value of a + b + √2 c equal to ?
A
За
B
2b
C
3b
D
2c
4
NDA Mathematics 3 September 2023
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language

Consider the following for the next items that follow:

The angles A, B and C of a triangle ABC are in the ratio 3 ∶ 5 ∶ 4.

What is the ratio of a2 ∶ b2 ∶ c2 ?
A
2 ∶ 2 + √3 ∶ 3
B
2 ∶ 2 - √3 ∶ 2
C
2 ∶ 2 + √3 ∶ 2
D
2 ∶ 2 - √3 ∶ 3
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