PYQ Vault

Day 96: CBSE Class 10 Maths

5 questions (8 parts). Try each one first, then open its answer.

  1. Question 1

    Areas Related to Circles. Asked once: 2024 (same type asked 4 times)

    22 (b)
    Find the length of the arc of a circle which subtends an angle of 60∘60^\circ at the centre of the circle of radius 42 cm.

  2. Question 2

    Areas Related to Circles. Asked once: 2026 (same type asked 4 times)

    27
    In the given figure, chord AB subtends an angle of 120∘120^\circ at the centre of the circle with radius 7 cm. Find (i) perimeter of major sector OACB, and (ii) area of the shaded segment, if area of ΔOAB=21⋅2 cm2\Delta OAB = 21{\cdot}2\,\text{cm}^2.

  3. Question 3 (case study, 4 parts)

    Arithmetic Progressions. Asked once: 2025 (same type asked 4 times)

    A school is organizing a charity run to raise funds for a local hospital. The run is planned as a series of rounds around a track, with each round being 300 metres. To make the event more challenging and engaging, the organizers decide to increase the distance of each subsequent round by 50 metres. For example, the second round will be 350 metres, the third round will be 400 metres and so on. The total number of rounds planned is 10. Based on the information given above, answer the following questions :
    36 (i)
    Write the fourth, fifth and sixth term of the Arithmetic Progression so formed.
    36 (ii)
    Determine the distance of the 8th8^{\text{th}} round.
    36 (iii) (a)
    Find the total distance run after completing all 10 rounds.
    36 (iii) (b)
    If a runner completes only the first 6 rounds, what is the total distance run by the runner ?

  4. Question 4

    Circles. Asked once: 2024 (same type asked 4 times)

    21
    In the given figure, ΔABC\Delta ABC is circumscribing a circle. Find the length of BC, if AR = 4 cm, BR = 3 cm and AC = 11 cm.

  5. Question 5

    Circles. Asked once: 2025 (same type asked 4 times)

    2
    In the adjoining figure, AP and AQ are tangents to the circle with centre O. If reflex ∠POQ=210∘\angle POQ = 210^\circ, the value of 2x2x is

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