PYQ Vault

Day 2: MH SSC Class 10 Geometry

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

  1. Question 1

    Circle. Asked 3 times: Mar 2024, Jul 2025, Jun 2026

    Q2(A)(1)
    In the following figure, chord EN and chord FS intersect each other at point M in the exterior of the circle. If m(arc NS)=125∘m(\text{arc NS}) = 125^\circ, m(arc EF)=37∘m(\text{arc EF}) = 37^\circ, then complete the following activity to find ∠NMS\angle NMS.

  2. Question 2

    Co-ordinate Geometry. Asked 3 times: Mar 2016, Mar 2025, Jun 2026

    Q1(B)(4)
    Angle made by the line with the positive direction of X-axis is 30∘30^\circ. Find slope of the line.

  3. Question 3

    Pythagoras Theorem. Asked 3 times: Mar 2025, Mar 2026, Jun 2026* (* = numbers or wording changed that year)

    Q1(A)(1)
    Out of the following which is a Pythagorean triplet?

    Tap an option to check your answer.

  4. Question 4

    Similarity. Asked 3 times: Mar 2019, Mar 2024*, Jun 2026* (* = numbers or wording changed that year)

    Q3(A)(1)
    In the following figure, in △ABC\triangle ABC ray BD bisects ∠ABC\angle ABC, A-D-C, seg ED ∥\parallel side BC, A-E-B, then to prove that ABBC=AEEB\dfrac{AB}{BC} = \dfrac{AE}{EB}, complete the following activity.

  5. Question 5

    Circle. Asked 3 times: Mar 2020, Jul 2025, Mar 2026

    Q2(A)(1)
    In the following figure, seg PS is a tangent segment and line PR is a secant. If PQ=3.6PQ = 3.6, QR=6.4QR = 6.4, complete the activity to find PS.