PYQ Vault

Day 60: CBSE Class 10 Maths

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

  1. Question 1

    Coordinate Geometry. This type asked 2 times: 2023, 2025. This one: 2025

    6
    The distance of which of the following points from origin is less than 5 units ?

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  2. Question 2

    Coordinate Geometry. This type asked 2 times: 2023, 2025. This one: 2025

    6
    The line represented by x4+y6=1\dfrac{x}{4} + \dfrac{y}{6} = 1, intersects x-axis and y-axis respectively at P and Q. The coordinates of the mid-point of line segment PQ are :

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  3. Question 3

    Introduction to Trigonometry. This type asked 2 times: 2023, 2025. This one: 2025

    21
    If 4k=tan⁡260∘−2cosec⁡230∘−2tan⁡230∘4k = \tan^2 60^\circ - 2\operatorname{cosec}^2 30^\circ - 2\tan^2 30^\circ, then find the value of k.

  4. Question 4

    Introduction to Trigonometry. This type asked 2 times: 2023, 2025. This one: 2025

    12
    If x(2tan⁡30∘1+tan⁡230∘)=y(2tan⁡30∘1−tan⁡230∘)x\left(\dfrac{2\tan 30^\circ}{1 + \tan^2 30^\circ}\right) = y\left(\dfrac{2\tan 30^\circ}{1 - \tan^2 30^\circ}\right), then x:y=x : y =

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  5. Question 5

    Introduction to Trigonometry. This type asked 2 times: 2023, 2025. This one: 2025

    10
    Which of the following is a trigonometric identity ?

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