PYQ Vault

Day 95: NDA Maths

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

  1. Question 1

    Applications of Integration. Asked once: NDA 1 2022 (same type asked 5 times)

    78
    What is the area included in the first quadrant between the curves y=xy=x and y=x3y=x^3?

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  2. Question 2

    Differential Equations. Asked once: NDA 1 2021 (same type asked 5 times)

    99
    What is the solution of the following differential equation? ln⁡(dydx)+y=x\ln\left(\frac{dy}{dx}\right)+y=x

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  3. Question 3

    Matrices & Determinants. Asked once: NDA 2 2025 (same type asked 5 times)

    16
    The value of the determinant ∣abclmnpqr∣\begin{vmatrix}a&b&c\\l&m&n\\p&q&r\end{vmatrix} is equal to

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  4. Question 4

    Sequence & Series. Asked once: NDA 2 2024 (same type asked 5 times)

    7
    If pp times the pthp^{th} term of an AP is equal to qq times the qthq^{th} term (p≠qp \neq q), then what is the (p+q)th(p+q)^{th} term equal to?

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  5. Question 5

    Applications of Integration. Asked once: NDA 1 2023 (same type asked 5 times)

    93
    For what value of mm with m<0m<0, is the area bounded by the lines y=xy=x, y=mxy=mx and x=2x=2 equal to 3?

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