PYQ Vault
EbooksTutor

Day 118: NDA Maths

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

  1. Question 1

    Conics. Asked once: NDA 1 2022 (same type asked 3 times)

    85
    What is the distance between the foci of the ellipse x2+2y2=1x^2+2y^2=1?

    Tap an option to check your answer.

  2. Question 2

    Indefinite Integration. Asked once: NDA 1 2022 (same type asked 3 times)

    63
    If I1=∫ex dxex+e−xI_1=\int\frac{e^x\,dx}{e^x+e^{-x}} and I2=∫dxe2x+1I_2=\int\frac{dx}{e^{2x}+1}, then what is I1+I2I_1+I_2 equal to?

    Tap an option to check your answer.

  3. Question 3

    Lines. Asked once: NDA 1 2022 (same type asked 3 times)

    90
    If the point (x,y)(x,y) is equidistant from the points (2a,0)(2a,0) and (0,3a)(0,3a) where a>0a>0, then which one of the following is correct?

    Tap an option to check your answer.

  4. Question 4

    Permutation & Combination. Asked once: NDA 1 2024 (same type asked 3 times)

    6
    A triangle PQRPQR is such that 3 points lie on side PQPQ, 4 points on QRQR and 5 points on RPRP respectively. Triangles are constructed using these points as vertices. What is the number of triangles so formed?

    Tap an option to check your answer.

  5. Question 5

    Probability. Asked once: NDA 1 2020 (same type asked 3 times)

    116
    In a lottery of 10 tickets numbered 1 to 10, two tickets are drawn simultaneously. What is the probability that both the tickets drawn have prime numbers?

    Tap an option to check your answer.