PYQ Vault

Day 3: MH SSC Class 10 Geometry

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

  1. Question 1

    Co-ordinate Geometry. Asked 3 times: Mar 2024, Jul 2025, Mar 2026

    Q1(B)(4)
    Angle made by the line with the positive direction of X-axis is 45∘45^\circ, find the slope of the line.
  2. Question 2

    Pythagoras Theorem. Asked 3 times: Mar 2023, Jul 2024*, Mar 2026* (* = numbers or wording changed that year)

    Q2(B)(2)
    In △RST\triangle RST, ∠S=90∘\angle S = 90^\circ, ∠T=30∘\angle T = 30^\circ, RT=12RT = 12 cm, then find RS and ST.
  3. Question 3

    Similarity. Asked 3 times: Mar 2022, Mar 2025*, Mar 2026* (* = numbers or wording changed that year)

    Q3(A)(1)
    In the following figure, seg XY ∥\parallel side AC. If 2AX=3BX2AX = 3BX and XY=9XY = 9, complete the activity to find the value of AC.
  4. Question 4

    Co-ordinate Geometry. Asked 3 times: Mar 2019, Mar 2024, Mar 2025

    Q2(B)(4)
    Verify whether the points A(1,−3)A(1, -3), B(2,−5)B(2, -5) and C(−4,7)C(-4, 7) are collinear or not.
  5. Question 5

    Co-ordinate Geometry. Asked 3 times: Mar 2020*, Mar 2023, Mar 2025 (* = numbers or wording changed that year)

    Q1(A)(3)
    Distance of the point (3,4)(3, 4) from the origin is ________.

    Tap an option to check your answer.