PYQ Vault

Day 224: CBSE Class 10 Maths

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

  1. Question 1

    Pair of Linear Equations in Two Variables. Asked once: 2023

    29
    Two people are 16 km apart on a straight road. They start walking at the same time. If they walk towards each other with different speeds, they will meet in 2 hours. Had they walked in the same direction with same speeds as before, they would have met in 8 hours. Find their walking speeds.

  2. Question 2

    Real Numbers. Asked once: 2024

    15
    The smallest irrational number by which 20\sqrt{20} should be multiplied so as to get a rational number, is :

    Tap an option to check your answer.

  3. Question 3

    Triangles. Asked once: 2025

    33 (b)
    In the adjoining figure, ΔCAB\Delta CAB is a right triangle, right angled at A and AD⊥BCAD \perp BC. Prove that ΔADB∼ΔCDA\Delta ADB \sim \Delta CDA. Further, if BC = 10 cm and CD = 2 cm, find the length of AD.

  4. Question 4

    Circles. Asked once: 2023

    24
    In the given figure, PA is a tangent to the circle drawn from the external point P and PBC is the secant to the circle with BC as diameter. If ∠AOC=130∘\angle AOC = 130^\circ, then find the measure of ∠APB\angle APB, where O is the centre of the circle.

  5. Question 5

    Coordinate Geometry. Asked once: 2023

    28
    If (−5,3)(-5, 3) and (5,3)(5, 3) are two vertices of an equilateral triangle, then find coordinates of the third vertex, given that origin lies inside the triangle. (Take 3=1.7\sqrt{3} = 1.7)