PYQ Vault
EbooksTutor

Day 149: NDA Maths

5 questions (6 parts). Try each one first, then open its answer.

  1. Question 1

    Lines. Asked once: NDA 1 2022 (same type asked 2 times)

    88
    Under which one of the following conditions are the lines ax+by+c=0ax+by+c=0 and bx+ay+c=0bx+ay+c=0 parallel (a≠0,b≠0a\neq0, b\neq0)?

    Tap an option to check your answer.

  2. Question 2

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

    56
    What is the ratio in which the point C ⁣(−27,−207)C\!\left(-\dfrac{2}{7}, -\dfrac{20}{7}\right) divides the line joining the points A(−2,−2)A(-2, -2) and B(2,−4)B(2, -4)?

    Tap an option to check your answer.

  3. Question 3

    Probability. Asked once: NDA 1 2022 (same type asked 2 times)

    101
    Two digits out of 1, 2, 3, 4, 5 are chosen at random and multiplied together. What is the probability that the last digit in the product appears as 0?

    Tap an option to check your answer.

  4. Question 4

    Quadratic Equations. Asked once: NDA 2 2021 (same type asked 2 times)

    26
    Consider all the real roots of the equation x4−10x2+9=0x^{4}-10x^{2}+9=0. What is the sum of the absolute values of the roots?

    Tap an option to check your answer.

  5. Question 5 (case study, 2 parts)

    Trigonometric Identities. Asked once: NDA 1 2020 (same type asked 2 times)

    Directions for the following two (02) items: Read the following information and answer the two items that follow: Let tan⁡3Atan⁡A=K\frac{\tan 3A}{\tan A} = K, where tan⁡A≠0\tan A \neq 0 and K≠13K \neq \frac{1}{3}.
    19
    What is tan⁡2A\tan^2 A equal to?

    Tap an option to check your answer.

    20
    For real values of tan⁡A\tan A, KK cannot\textbf{\text{cannot}} lie between

    Tap an option to check your answer.