PYQ Vault

Day 74: CBSE Class 10 Maths

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

  1. Question 1

    Areas Related to Circles. Asked once: 2024 (same type asked 3 times)

    17
    Perimeter of a sector of a circle whose central angle is 90∘90^\circ and radius 7 cm is :

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  2. Question 2

    Areas Related to Circles. Asked once: 2024 (same type asked 3 times)

    31
    An arc of a circle of radius 10 cm subtends a right angle at the centre of the circle. Find the area of the corresponding major sector. (Use π=3⋅14\pi = 3{\cdot}14)

  3. Question 3

    Arithmetic Progressions. Asked once: 2025 (same type asked 3 times)

    Two statements are given, one labelled Assertion (A) and the other labelled Reason (R). Select the correct answer from the options given below.
    19
    Assertion (A) : Common difference of the AP : 5,1,−3,−7,…5, 1, -3, -7, \ldots is 4. Reason (R) : Common difference of the AP : a1,a2,a3,…,ana_1, a_2, a_3, \ldots, a_n is obtained by d=an−an−1d = a_n - a_{n-1}.

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  4. Question 4

    Arithmetic Progressions. Asked once: 2026 (same type asked 3 times)

    22 (a)
    In an A.P., the first term is 32 and the last term is −10-10. If the common difference is −2-2, then find the number of terms and their sum.

  5. Question 5

    Circles. Asked once: 2024 (same type asked 3 times)

    30
    From an external point P, two tangents PA and PB are drawn to the circle with centre O. Prove that OP is the perpendicular bisector of chord AB.