PYQ Vault

Day 6: MH SSC Class 10 Geometry

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

  1. Question 1

    Similarity. Asked 2 times: Jul 2024, Jun 2026

    Q2(B)(1)
    In the following figure, in △PQR\triangle PQR, seg RS bisects ∠R\angle R. If PR=15PR = 15, QR=20QR = 20, PS=12PS = 12, then find QS.

  2. Question 2

    Trigonometry. Asked 2 times: Mar 2020, Jun 2026

    Q2(B)(5)
    A person is standing at a distance of 8080 m from a Church looking at its top. The angle of elevation is of 45∘45^\circ. Find the height of the Church.

  3. Question 3

    Circle. Asked 2 times: Mar 2025, Mar 2026

    Q2(B)(3)
    In the following figure, chord MN and chord RS intersect at point D. If RD=15RD = 15, DS=4DS = 4, MD=8MD = 8, find DN.

  4. Question 4

    Circle. Asked 2 times: Mar 2017*, Mar 2026 (* = numbers or wording changed that year)

    Q1(A)(2)
    Two circles having radii 44 cm and 55 cm touch each other internally. Then the distance between the centres is ________.

    Tap an option to check your answer.

  5. Question 5

    Co-ordinate Geometry. Asked 2 times: Jul 2025, Mar 2026

    Q3(B)(3)
    Find the co-ordinates of point P, if P divides the line segment joining the points A(−1,7)A(-1, 7) and B(4,−3)B(4, -3) in the ratio 2:32 : 3.