PYQ Vault

Day 329: NDA Maths

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

  1. Question 1

    Trigonometric Identities. Asked once: NDA 2 2022

    48
    What is the value of tan⁡ ⁣(3π8)\tan\!\left(\frac{3\pi}{8}\right)?

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  2. Question 2

    Vectors. Asked once: NDA 2 2022

    66
    PQRS is a parallelogram. If PR→=a⃗\overrightarrow{PR} = \vec{a} and QS→=b⃗\overrightarrow{QS} = \vec{b}, then what is PQ→\overrightarrow{PQ} equal to?

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  3. Question 3

    3D Geometry. Asked once: NDA 1 2017

    65
    Under which one of the following conditions are the lines x=ay+b;  z=cy+dx=ay+b;\; z=cy+d and x=ey+f;  z=gy+hx=ey+f;\; z=gy+h perpendicular?

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  4. Question 4

    Application of Derivatives. Asked once: NDA 2 2021

    90
    Where does the tangent to the curve y=exy=e^{x} at the point (0,1)(0,1) meet the xx-axis?

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  5. Question 5

    Differentiation. Asked once: NDA 1 2021

    89
    If x=etcos⁡tx=e^t\cos t and y=etsin⁡ty=e^t\sin t, then what is dxdy\frac{dx}{dy} at t=0t=0 equal to?

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