PYQ Vault

Day 85: CBSE Class 10 Maths

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

  1. Question 1

    Arithmetic Progressions. Asked once: 2024 (same type asked 2 times)

    15
    The sum of first 200 natural numbers is

    Tap an option to check your answer.

  2. Question 2

    Arithmetic Progressions. Asked once: 2026 (same type asked 2 times)

    7
    The first term of an AP is pp and the common difference is qq, then its 10th term is :

    Tap an option to check your answer.

  3. Question 3 (case study, 4 parts)

    Circles. Asked once: 2024 (same type asked 2 times)

    A backyard is in the shape of a triangle ABC with right angle at B. AB = 7 m and BC = 15 m. A circular pit was dug inside it such that it touches the walls AC, BC and AB at P, Q and R respectively such that AP = xx m. Based on the above information, answer the following questions :
    38 (i)
    Find the length of AR in terms of x.
    38 (ii)
    Write the type of quadrilateral BQOR.
    38 (iii) (a)
    Find the length PC in terms of x and hence find the value of x.
    38 (iii) (b)
    Find x and hence find the radius r of circle.

  4. Question 4

    Coordinate Geometry. Asked once: 2024 (same type asked 2 times)

    24 (a)
    Find the ratio in which the point P(−4,6)P(-4, 6) divides the line segment joining the points A(−6,10)A(-6, 10) and B(3,−8)B(3, -8).

  5. Question 5

    Coordinate Geometry. Asked once: 2025 (same type asked 2 times)

    26 (b)
    Find the coordinates of the points which divide the line segment joining A(−2,2)A(-2, 2) and B(2,8)B(2, 8) into four equal parts.