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Day 44: NDA Maths

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

  1. Question 1

    Matrices & Determinants. Asked 2 times: NDA 2 2025*, NDA 2 2026 (* = numbers or wording changed that year)

    22
    If A=[−123−4]A = \begin{bmatrix} -1 & 2 \\ 3 & -4 \end{bmatrix}, then what is ∣A−1∣|A^{-1}| equal to?

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  2. Question 2

    Sets & Relations. Asked 2 times: NDA 2 2023*, NDA 2 2026 (* = numbers or wording changed that year)

    48
    The Cartesian product A×AA \times A has 25 elements among which are found (3, 1), (6, 2), (5, 3). Which of the following statements is/are correct? I. It is possible to determine other elements of A×AA \times A. II. (5,5)∈A×A(5, 5) \in A \times A and (1,3)∉A×A(1, 3) \notin A \times A Select the answer using the code given below.

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  3. Question 3

    Height & Distance. Asked 2 times: NDA 1 2021*, NDA 1 2026 (* = numbers or wording changed that year)

    40
    What is the length of the chord of a unit circle which subtends at the centre of the circle an angle of 45°?

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  4. Question 4

    Probability. Asked 2 times: NDA 2 2021*, NDA 2 2025 (* = numbers or wording changed that year)

    118
    If P(A)=0.3P(A)=0.3, P(B)=0.4P(B)=0.4 and P(A∣B)=0.5P(A|B)=0.5, then what is the value of P(B∣A)P(B|A)?

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  5. Question 5

    Lines. Asked 2 times: NDA 1 2017*, NDA 1 2025 (* = numbers or wording changed that year)

    53
    The vertices of a triangle are A(1,1),B(0,0)A(1,1), B(0,0) and C(2,0)C(2,0). The angular bisectors of the triangle meet at PP. What are the coordinates of PP?

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