PYQ Vault

Day 34: MH SSC Class 10 Geometry

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

  1. Question 1

    Mensuration. Asked once: Mar 2023 (same type asked 3 times)

    Q3(B)(4)
    The radii of the circular ends of a frustum are 14 cm and 6 cm respectively and its height is 6 cm. Find its curved surface area. (π=3.14)(\pi = 3.14)

  2. Question 2

    Trigonometry. Asked once: Mar 2016 (same type asked 3 times)

    Q4(ii)
    A person standing on the bank of a river observes that the angle of elevation of the top of a tree standing on the opposite bank is 60∘60^\circ. When he moves 4040 m away from the bank, he finds the angle of elevation to be 30∘30^\circ. Find the height of the tree and the width of the river. (3=1.73)(\sqrt{3} = 1.73)

  3. Question 3

    Similarity. Asked once: Mar 2019 (same type asked 3 times)

    Solve the following questions (Any four):
    Q1(A)(i)
    If △ABC∼△PQR\triangle ABC \sim \triangle PQR and ∠A=60∘\angle A = 60^\circ, then ∠P=?\angle P = ?

  4. Question 4

    Circle. Asked once: Mar 2018 (same type asked 3 times)

    Q2(ii)
    In the following figure, point AA is the centre of the circle. Line MNMN is tangent at point MM. If AN=16AN = 16 cm and MN=8MN = 8 cm, determine the radius of the circle.

  5. Question 5

    Geometric Constructions. Asked once: Mar 2016 (same type asked 3 times)

    Q3(iii)
    Draw a circle of radius 3.53.5 cm. Take any point KK on it. Draw a tangent to the circle at KK without using the centre of the circle.