PYQ Vault

Day 208: CBSE Class 10 Maths

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

  1. Question 1

    Real Numbers. Asked once: 2025

    9
    If (−1)n+(−1)8=0(-1)^n + (-1)^8 = 0, then n is :

    Tap an option to check your answer.

  2. Question 2

    Some Applications of Trigonometry. Asked once: 2023

    32 (A)
    A straight highway leads to the foot of a tower. A man standing on the top of the 75 m high tower observes two cars at angles of depression of 30∘30^\circ and 60∘60^\circ, which are approaching the foot of the tower. If one car is exactly behind the other on the same side of the tower, find the distance between the two cars. (use 3=1.73\sqrt{3} = 1.73)

  3. Question 3

    Surface Areas and Volumes. Asked once: 2023

    31 (b)
    An empty cone is of radius 3 cm and height 12 cm. Ice-cream is filled in it so that lower part of the cone which is (16)th\left(\dfrac{1}{6}\right)^{\text{th}} of the volume of the cone is unfilled but hemisphere is formed on the top. Find volume of the ice-cream. (Take π=3.14\pi = 3.14)

  4. Question 4

    Triangles. Asked once: 2026

    22
    Two right triangles PRQ and PSQ are drawn on the same hypotenuse PQ. If PR and QS intersect at T, prove that ST×TQ=PT×TRST \times TQ = PT \times TR.

  5. Question 5

    Areas Related to Circles. Asked once: 2024

    5
    If an arc subtends an angle of 90∘90^\circ at the centre of a circle, then the ratio of its length to the circumference of the circle is :

    Tap an option to check your answer.