PYQ Vault

Day 221: CBSE Class 10 Maths

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

  1. Question 1

    Pair of Linear Equations in Two Variables. Asked once: 2024

    33
    If the length of a rectangle is reduced by 5 cm and its breadth is increased by 2 cm, then the area of the rectangle is reduced by 80 cm280\,\text{cm}^2. However, if we increase the length by 10 cm and decrease the breadth by 5 cm, its area is increased by 50 cm250\,\text{cm}^2. Find the length and breadth of the rectangle.

  2. Question 2

    Real Numbers. Asked once: 2025

    3
    For any prime number p, if p divides a2a^2, where a is any real number then p also divides

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  3. Question 3

    Triangles. Asked once: 2025

    7
    ΔABC\Delta ABC and ΔPQR\Delta PQR are shown in the adjoining figures. The measure of ∠C\angle C is :

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  4. Question 4 (case study, 4 parts)

    Circles. Asked once: 2023

    The discus throw is an event in which an athlete attempts to throw a discus. The athlete spins anti-clockwise around one and a half times through a circle, then releases the throw. When released, the discus travels along tangent to the circular spin orbit. In the given figure, AB is one such tangent to a circle of radius 75 cm. Point O is centre of the circle and ∠ABO=30∘\angle ABO = 30^\circ. PQ is parallel to OA. Based on above information :
    38 (a)
    find the length of AB.
    38 (b)
    find the length of OB.
    38 (c)
    find the length of AP.
    38 (c) OR
    find the length of PQ.

  5. Question 5

    Coordinate Geometry. Asked once: 2023

    5
    The coordinates of the vertex A of a rectangle ABCD whose three vertices are given as B(0,0)B(0, 0), C(3,0)C(3, 0) and D(0,4)D(0, 4) are :

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