PYQ Vault

Day 335: NDA Maths

5 questions (7 parts). Try each one first, then open its answer.

  1. Question 1

    Statistics. Asked once: NDA 1 2021

    103
    For a histogram based on a frequency distribution with unequal class intervals, the frequency of a class should be proportional to

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  2. Question 2

    Trigonometric Identities. Asked once: NDA 1 2022

    31
    If tan⁡θ=−512\tan\theta=-\frac{5}{12}, then what can be the value of sin⁡θ\sin\theta?

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  3. Question 3

    Vectors. Asked once: NDA 1 2022

    98
    Consider the following statements: 1. Dot product over vector addition is distributive 2. Cross product over vector addition is distributive 3. Cross product of vectors is associative Which of the above statements is/are correct?

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  4. Question 4

    Application of Derivatives. Asked once: NDA 1 2021

    83
    A 24 cm long wire is bent to form a triangle with one of the angles as 60°. What is the altitude of the triangle having the greatest possible area?

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  5. Question 5 (case study, 3 parts)

    Differentiation. Asked once: NDA 2 2019

    Directions for the following three (03) items : Read the following information and answer the three items that follow : A curve y=memxy = me^{mx} where m>0m > 0 intersects yy-axis at a point PP.
    76
    What is the slope of the curve at the point of intersection PP ?

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    77
    How much angle does the tangent at PP make with yy-axis ?

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    78
    What is the equation of tangent to the curve at PP ?

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