PYQ Vault

Day 47: MH SSC Class 10 Geometry

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

  1. Question 1

    Mensuration. Asked once: Mar 2017

    Q2(vi)
    The dimensions of a cuboid in cm are 50×18×1050 \times 18 \times 10. Find its volume.

  2. Question 2

    Pythagoras Theorem. Asked once: Jul 2024

    Q4(1)
    △ABC\triangle ABC is an equilateral triangle. Point D is on seg BC such that BD=15BCBD = \dfrac{1}{5} BC. Then prove that AD2AB2=2125\dfrac{AD^2}{AB^2} = \dfrac{21}{25}.

  3. Question 3

    Similarity. Asked once: Mar 2023

    Q3(A)(1)
    In △PQR\triangle PQR, seg PM is a median. The angle bisectors of ∠PMQ\angle PMQ and ∠PMR\angle PMR intersect side PQ and side PR in points X and Y respectively. Complete the activity to prove that XY ∥\parallel QR.

  4. Question 4

    Circle. Asked once: Mar 2024

    Q3(A)(2)
    Chords AB and CD of a circle with centre P intersect at point E. Draw seg AC and seg BD, then complete the following activity to prove that AE×EB=CE×EDAE \times EB = CE \times ED.

  5. Question 5

    Mensuration. Asked once: Mar 2017

    Q4(iii)
    A toy is a combination of a cylinder, hemisphere and a cone, each with radius 10 cm as shown in the figure. Height of the conical part is 10 cm and total height is 60 cm. Find the total surface area of the toy. (π=3.14, 2=1.41)(\pi = 3.14,\ \sqrt{2} = 1.41)