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Day 159: CDS Maths

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

  1. Question 1

    Trigonometric Ratios and Identities. Asked once: CDS 2 2016 (same type asked 5 times) See all 5 of this type

    72
    If sin⁡x+sin⁡2x=1\sin x + \sin^2 x = 1, then what is the value of cos⁡8x+2cos⁡6x+cos⁡4x\cos^8 x + 2\cos^6 x + \cos^4 x ?

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  2. Question 2

    Trigonometric Ratios and Identities. Asked once: CDS 1 2023 (same type asked 5 times) See all 5 of this type

    49
    What is the minimum value of 6−4sin⁡θ6 - 4\sin\theta, 0≤θ≤π20 \le \theta \le \frac{\pi}{2} ?

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  3. Question 3

    Algebraic Identities and Simplification. Asked once: CDS 1 2021 (same type asked 5 times) See all 5 of this type

    22
    If x+1x=52x + \frac{1}{x} = \frac{5}{2}, then what is x4−1x4x^4 - \frac{1}{x^4} equal to?

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  4. Question 4

    Circles. Asked once: CDS 2 2017 (same type asked 5 times) See all 5 of this type

    63
    AB and CD are parallel chords of a circle 3 cm apart. If AB = 4 cm, CD = 10 cm, then what is the radius of the circle ?

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  5. Question 5

    Heights and Distances. Asked once: CDS 2 2021 (same type asked 5 times) See all 5 of this type

    51
    From an aeroplane flying above a river at an altitude of 1200 m, it is observed that the angles of depression of opposite points on the two banks of a river are 30∘30^\circ and θ\theta. If the width of the river is 3000 m, then which one of the following is correct ?

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