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Day 320: CDS Maths

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

  1. Question 1

    Quadratic Equations. Asked once: CDS 1 2017

    45
    Aman and Alok attempted to solve a quadratic equation. Aman made a mistake in writing down the constant term and ended up in roots (4,3)(4, 3). Alok made a mistake in writing down the coefficient of xx to get roots (3,2)(3, 2). The correct roots of the equation are

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  2. Question 2

    Triangles. Asked once: CDS 1 2022

    80
    ABCABC is a triangle right angled at BB with AC=2BCAC = 2BC. If ∠A=x\angle A = x, then what is ∠C\angle C equal to?

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  3. Question 3

    Trigonometric Ratios and Identities. Asked once: CDS 1 2022

    58
    What is the length of the chord of a unit circle which subtends an angle 2θ2\theta at the centre, where θ<45∘\theta < 45^\circ?

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  4. Question 4

    Algebraic Identities and Simplification. Asked once: CDS 2 2021

    12
    If α+β+γ=αβ+βγ+γα\alpha+\beta+\gamma=\alpha\beta+\beta\gamma+\gamma\alpha, then what is (1−α)(1−β)(1−γ)(1-\alpha)(1-\beta)(1-\gamma) equal to ?

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  5. Question 5

    Mensuration 2D. Asked once: CDS 2 2021

    30
    A person wishes to fence 375 m2375\,\text{m}^2 rectangular garden. He has 65 m of barbed wire and is able to fence only three sides of the garden. What is the perimeter of the garden ?

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