NDA Mathematics 3 September 2023 | NDA Year Wise Previous Years Questions

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NDA Mathematics 3 September 2023

MCQ (Single Correct Answer)

+2.5

-0.83

What is the differential equation of all parabolas of the type y2 = 4a (x - b)?

$ \frac{d^2 y}{d x^2}+\left(\frac{d y}{d x}\right)^2=0 $

$ \frac{d^2 y}{d x^2}+x^2\left(\frac{d y}{d x}\right)^2=0$

$y^2 \frac{d^2 y}{d x^2}+\left(\frac{d y}{d x}\right)^2=0 $

$y \frac{d^2 y}{d x^2}+\left(\frac{d y}{d x}\right)^2=0$

NDA Mathematics 3 September 2023

MCQ (Single Correct Answer)

+2.5

-0.83

Consider the following for the next items that follow:

Let a1, a2, a3 ... be in AP such that a1 + a5 + a10 + a15 + a20 + a25 + a30 + a34 = 300.

What is a1 + a5 - a10 - a15 - a20 - a25 + a30 + a34 equal to ?

125

250

NDA Mathematics 3 September 2023

MCQ (Single Correct Answer)

+2.5

-0.83

Consider the following for the next items that follow:

Let a1, a2, a3 ... be in AP such that a1 + a5 + a10 + a15 + a20 + a25 + a30 + a34 = 300.

What is $\displaystyle \sum_{n=1}^{34} a_n$ equal to ?

900

1025

1200

1275

NDA Mathematics 3 September 2023

MCQ (Single Correct Answer)

+2.5

-0.83

Consider the following for the next items that follow:

Let $\rm p=\cos \left(\frac{\pi}{5}\right) \cos \left(\frac{2 \pi}{5}\right) $ and $\rm q=\cos \left(\frac{4 \pi}{5}\right) \cos \left(\frac{8 \pi}{5}\right)$.

What is the value of p + q?

$-\frac{1}{2}$

$-\frac{1}{4}$

$\frac{1}{2}$

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