PYQ Vault

Day 36: CBSE Class 10 Maths

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

  1. Question 1

    Circles. This type asked 4 times: 2022, 2023, 2025, 2026. This one: 2026

    12
    In the given figure, PT is a tangent to the circle with centre O and radius r. If ∠POT=45∘\angle POT = 45^\circ, then the length of OP is :

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  2. Question 2

    Coordinate Geometry. This type asked 4 times: 2023, 2024, 2025, 2026. This one: 2024

    24 (b)
    Prove that the points (3,0)(3, 0), (6,4)(6, 4) and (−1,3)(-1, 3) are the vertices of an isosceles triangle.

  3. Question 3

    Coordinate Geometry. This type asked 4 times: 2023, 2024, 2025, 2026. This one: 2026

    31
    Parthi and Alisha found a treasure that is exactly on the straight line joining their locations. Parthi’s location is at point (−6,−5)(-6, -5) and Alisha’s location is at point (10,11)(10, 11). The distance from the treasure to Parthi’s location is three times that of the distance to Alisha’s location. Find the coordinates of the location of the treasure.

  4. Question 4

    Introduction to Trigonometry. This type asked 4 times: 2023, 2024, 2025, 2026. This one: 2026

    23 (b)
    Evaluate : 3cos⁡230∘−6cosec⁡230∘tan⁡260∘\dfrac{3\cos^2 30^\circ - 6\operatorname{cosec}^2 30^\circ}{\tan^2 60^\circ}

  5. Question 5

    Introduction to Trigonometry. This type asked 4 times: 2023, 2024, 2025, 2026. This one: 2026

    15
    If 2tan⁡A=32\tan A = 3, then value of sec⁡A\sec A equals

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