PYQ Vault

Day 3: CBSE Class 10 Maths

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

  1. Question 1

    Arithmetic Progressions. Asked 3 times: 2023*, 2024*, 2026 (* = numbers or wording changed that year)

    3
    The nthn^{\text{th}} term of an A.P. is 2 n+1\sqrt{2}\,n + 1. Its common difference is

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  2. Question 2

    Arithmetic Progressions. Asked 3 times: 2024*, 2025*, 2026 (* = numbers or wording changed that year)

    3
    In an A.P., if a14−a8=24a_{14} - a_8 = 24, then the common difference of the A.P. is

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  3. Question 3

    Arithmetic Progressions. Asked 3 times: 2023*, 2024*, 2026 (* = numbers or wording changed that year)

    23 (a)
    In an A.P., the first term is 4 and the last term is 31. If sum of all the terms is 175, find the number of terms and the common difference.
  4. Question 4

    Circles. Asked 3 times: 2022, 2023*, 2026 (* = numbers or wording changed that year)

    29 (B)
    In the given figure, if a circle touches the side QR of ΔPQR\Delta PQR at S and extended sides PQ and PR at M and N respectively, then prove that : PM=12(PQ+QR+PR)PM = \dfrac{1}{2}(PQ + QR + PR)
  5. Question 5

    Circles. Asked 3 times: 2023*, 2025*, 2026 (* = numbers or wording changed that year)

    14
    In the given figure, PA and PB are tangents to a circle centred at O. If ∠AOB=130∘\angle AOB = 130^\circ, then ∠APB\angle APB is equal to :

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