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Day 258: SSC CGL Quant

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

  1. Question 1

    Circles. Asked once: 25 Jul 2023 S2 (same type asked 6 times) See all 6 of this type

    63
    If RP and RQ are two tangents to a circle with centre O such that ∠POQ=120∘\angle POQ = 120^\circ, where P and Q are the points on the circle and R is a point outside the circle then ∠PRQ\angle PRQ is equal to:

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  2. Question 2

    Trigonometric Ratios and Identities. Asked once: 19 Jul 2023 S1 (same type asked 6 times) See all 6 of this type

    55
    If sin⁡x−cos⁡xsin⁡x+cos⁡x=25\frac{\sin x - \cos x}{\sin x + \cos x} = \frac{2}{5}, then the value of 1+cot⁡2x1−cot⁡2x\frac{1 + \cot^2 x}{1 - \cot^2 x} is:

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  3. Question 3

    Algebraic Identities and Simplification. Asked once: 25 Jul 2023 S2 (same type asked 6 times) See all 6 of this type

    70
    Simplify 256x4−16y4(80x2−20y2)(16x2+4y2)\frac{256x^4 - 16y^4}{(80x^2 - 20y^2)(16x^2 + 4y^2)}.

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  4. Question 4

    Algebraic Identities and Simplification. Asked once: 10 Sep 2024 S3 (same type asked 6 times) See all 6 of this type

    68
    If x2+y2=280x^2 + y^2 = 280 and xy=120xy = 120, then find the value of x−yx+y\frac{x - y}{x + y}.

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  5. Question 5

    Trigonometric Ratios and Identities. Asked once: 11 Sep 2024 S1 (same type asked 6 times) See all 6 of this type

    55
    Find the value of sec⁡35∘cosec 55∘−cos⁡25∘sin⁡65∘\frac{\sec 35^\circ}{\text{cosec}\, 55^\circ} - \frac{\cos 25^\circ}{\sin 65^\circ}.

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