PYQ Vault

Day 312: CDS Maths

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

  1. Question 1

    Quadratic Equations. Asked once: CDS 1 2018

    6
    If the roots of the equation px2+x+r=0px^2 + x + r = 0 are reciprocal to each other, then which one of the following is correct?

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  2. Question 2

    Surds, Indices and Simplification. Asked once: CDS 1 2017

    1
    What is 0.064×6.250.081×4.84\sqrt{\dfrac{0.064 \times 6.25}{0.081 \times 4.84}} equal to ?

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  3. Question 3

    Triangles. Asked once: CDS 2 2022

    69
    A circle is inscribed in a triangle ABC. It touches the sides BC, CA, AB at D, E, F respectively. What is ∠EDF\angle EDF equal to ?

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  4. Question 4 (case study, 3 parts)

    Trigonometric Ratios and Identities. Asked once: CDS 2 2022

    Consider the following for the next three (03) items that follow : A triangle ABC with sides AB = 15 cm, BC = 9 cm, CA = 12 cm is inscribed in a circle.
    43
    What is cos⁡2A+cos⁡2B+cos⁡2C\cos^2 A + \cos^2 B + \cos^2 C equal to ?

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    44
    What is sin⁡2A+sin⁡2B+sin⁡2C\sin^2 A + \sin^2 B + \sin^2 C equal to ?

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    45
    What is the radius of the circle ?

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  5. Question 5

    Algebraic Identities and Simplification. Asked once: CDS 1 2022

    25
    If x+1x=52x + \frac{1}{x} = \frac{5}{2} then what is the value of the following? 5x7x2−3x+7\frac{5x}{7x^2 - 3x + 7}

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