PYQ Vault

Day 213: CBSE Class 10 Maths

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

  1. Question 1

    Triangles. Asked once: 2025

    33 (b)
    State basic proportionality theorem. Use it to prove the following : If three parallel lines l, m, n are intersected by transversals q and s as shown in the adjoining figure, then ABBC=DEEF\dfrac{AB}{BC} = \dfrac{DE}{EF}.

  2. Question 2 (case study, 4 parts)

    Areas Related to Circles. Asked once: 2023

    Governing council of a local public development authority of Dehradun decided to build an adventurous playground on the top of a hill, which will have adequate space for parking. After survey, it was decided to build rectangular playground, with a semi-circular area allotted for parking at one end of the playground. The length and breadth of the rectangular playground are 14 units and 7 units, respectively. There are two quadrants of radius 2 units on one side for special seats. Based on the above information, answer the following questions :
    38 (i)
    What is the total perimeter of the parking area ?
    38 (ii) (a)
    What is the total area of parking and the two quadrants ?
    38 (ii) (b)
    What is the ratio of area of playground to the area of parking area ?
    38 (iii)
    Find the cost of fencing the playground and parking area at the rate of ₹ 2 per unit.

  3. Question 3

    Arithmetic Progressions. Asked once: 2023

    Two statements are given, one labelled Assertion (A) and the other labelled Reason (R). Select the correct answer from the options given below.
    20
    Assertion (A) : a, b, c are in A.P. if and only if 2b=a+c2b = a + c. Reason (R) : The sum of first n odd natural numbers is n2n^2.

    Tap an option to check your answer.

  4. Question 4

    Circles. Asked once: 2024

    28 (a)
    In the given figure, PQ is tangent to a circle centred at O and ∠BAQ=30∘\angle BAQ = 30^\circ; show that BP = BQ.

  5. Question 5

    Coordinate Geometry. Asked once: 2025

    15
    If the mid-point of the line segment joining the points (a,4)(a, 4) and (2,2b)(2, 2b) is (2,6)(2, 6), then the value of (a+b)(a + b) is given by :

    Tap an option to check your answer.