PYQ Vault

Day 43: CBSE Class 10 Maths

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

  1. Question 1

    Arithmetic Progressions. This type asked 3 times: 2022, 2024, 2026. This one: 2026

    17
    In an A.P., a=−3a = -3 and S17=357S_{17} = 357. The value of a17a_{17} is

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  2. Question 2

    Circles. This type asked 3 times: 2023, 2024, 2026. This one: 2026

    29 (a)
    Prove that the lengths of tangents drawn from an external point to a circle are equal.

  3. Question 3

    Circles. This type asked 3 times: 2022, 2025, 2026. This one: 2026

    8
    From an external point P, a tangent PT has been drawn to a circle with centre at O and radius 3 cm, intersecting its concentric circle at A and B. If AB = 8 cm and OA = AP, the length PQ equals.

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  4. Question 4

    Coordinate Geometry. This type asked 3 times: 2023, 2024, 2026. This one: 2026

    21
    If the distance between the points (4,p)(4, p) and (1,0)(1, 0) is 5, what is the value of p ?

  5. Question 5

    Coordinate Geometry. This type asked 3 times: 2023, 2024, 2026. This one: 2026

    28
    Determine the ratio in which the line 3x+y−9=03x + y - 9 = 0 divides the line segment joining the points (1,3)(1, 3) and (2,5)(2, 5). Find the point of intersection.