NDA Mathematics 4 September 2022 | NDA Year Wise Previous Years Questions

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NDA Mathematics 4 September 2022

MCQ (Single Correct Answer)

+2.5

-0.83

What are the values of x for which the angle between the vectors 2x²$\hat{\text{i}}$ + 3x$\hat{\text{j}}$ + $\hat{\text{k}}$ and $\hat{\text{i}}$ −2$\hat{\text{j}}$ + x²$\hat{\text{k}}$ is obtuse ?

0 < x < 2

x < 0

x > 2

0 ≤ x ≤ 2

NDA Mathematics 4 September 2022

MCQ (Single Correct Answer)

+2.5

-0.83

The position vectors of vertices A, B and C of triangle ABC are respectively $\hat{\text{j}}+\hat{\text{k}}, 3\hat{\text{i}}+\hat{\text{j}+5\hat{\text{k}}}$ and $3\hat{\text{j}}+3\hat{\text{k}}$. What is angle C equal to?

$\frac{\pi}{6}$

$\frac{\pi}{4}$

$\frac{\pi}{3}$

$\frac{\pi}{2}$

NDA Mathematics 4 September 2022

MCQ (Single Correct Answer)

+2.5

-0.83

Let z = [y] and y = [x] − x, where [.] is the greatest integer function. If x is not an integer but positive, then what is the value of z ?

−1

NDA Mathematics 4 September 2022

MCQ (Single Correct Answer)

+2.5

-0.83

If f(x) = 4x + 1 and g(x) = kx + 2 such that fog(x) = gof(x), then what is the value of k ?

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