PYQ Vault

Day 167: NDA Maths

5 questions. Try each one first, then open its answer.

  1. Question 1

    Definite Integration. Asked once: NDA 1 2017 (same type asked 2 times)

    72
    What is ∫0π/2dθ1+cos⁡θ\int_0^{\pi/2}\dfrac{d\theta}{1+\cos\theta} equal to?

    Tap an option to check your answer.

  2. Question 2

    Sets & Relations. Asked once: NDA 1 2017 (same type asked 2 times)

    1
    Let SS be the set of all persons living in Delhi. We say that xx, yy in SS are related if they were born in Delhi on the same day. Which one of the following is correct?

    Tap an option to check your answer.

  3. Question 3

    Trigonometric Identities. Asked once: NDA 1 2017 (same type asked 2 times)

    39
    If sin⁡A=35\sin A = \dfrac{3}{5}, where 450°<A<540°450° < A < 540°, then cos⁡A2\cos\dfrac{A}{2} is equal to

    Tap an option to check your answer.

  4. Question 4

    Lines. Asked once: NDA 1 2020 (same type asked 8 times)

    59
    What is the obtuse angle between the lines whose slopes are 2−32-\sqrt{3} and 2+32+\sqrt{3}?

    Tap an option to check your answer.

  5. Question 5

    Matrices & Determinants. Asked once: NDA 1 2020 (same type asked 8 times)

    41
    If AA is a matrix of order 3×53\times5 and BB is a matrix of order 5×35\times3, then the order of ABAB and BABA will respectively be

    Tap an option to check your answer.