PYQ Vault

Day 4: MH SSC Class 10 Geometry

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

  1. Question 1

    Circle. Asked 3 times: Mar 2019*, Mar 2023*, Mar 2024 (* = numbers or wording changed that year)

    Q1(A)(4)
    A circle has radius 3 cm. Then the length of its largest chord is ____.

    Tap an option to check your answer.

  2. Question 2

    Geometric Constructions. Asked 3 times: Mar 2016, Mar 2018, Mar 2023

    Q4(2)
    △SHR∼△SVU\triangle SHR \sim \triangle SVU. In △SHR\triangle SHR, SH=4.5SH = 4.5 cm, HR=5.2HR = 5.2 cm, SR=5.8SR = 5.8 cm and SHSV=35\dfrac{SH}{SV} = \dfrac{3}{5}. Construct △SVU\triangle SVU.
  3. Question 3

    Co-ordinate Geometry. Asked 3 times: Mar 2016*, Mar 2017*, Mar 2018 (* = numbers or wording changed that year)

    Q4(iii)
    A(5,4)A(5, 4), B(−3,−2)B(-3, -2) and C(1,−8)C(1, -8) are the vertices of triangle ABCABC. Find the equation of median ADAD.
  4. Question 4

    Circle. Asked 2 times: Mar 2023, Jun 2026

    Q2(B)(3)
    In the following figure, point G, D, E, F are concyclic points of a circle with centre C. ∠ECF=70∘\angle ECF = 70^\circ, m(arc DGF)=200∘m(\text{arc DGF}) = 200^\circ. Find m(arc DE)m(\text{arc DE}).
  5. Question 5

    Circle. Asked 2 times: Mar 2020, Jun 2026

    Q2(A)(3)
    In the following figure, point O is the centre of the circle, ∠AOB=100∘\angle AOB = 100^\circ. Complete the following activity with the help of given figure.
    Type of arcName of the arcMeasure of the arc
    Minor arc
    Major arc