PYQ Vault

Day 31: MH SSC Class 10 Geometry

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

  1. Question 1

    Trigonometry. Asked once: Jul 2025 (same type asked 5 times)

    Q1(B)(4)
    If sin⁡θ=725\sin\theta = \dfrac{7}{25}, then find the value of cosec⁡θ\operatorname{cosec}\theta.

  2. Question 2

    Similarity. Asked once: Mar 2017 (same type asked 5 times)

    Q2(i)
    In △PQR\triangle PQR, seg RS is the bisector of ∠PRQ\angle PRQ. If PS = 6, SQ = 8 and PR = 12, find QR.

  3. Question 3

    Trigonometry. Asked once: Mar 2018 (same type asked 5 times)

    Q3(iv)
    Show that 1−cos⁡A1+cos⁡A=cosec⁡A−cot⁡A\sqrt{\dfrac{1 - \cos A}{1 + \cos A}} = \operatorname{cosec} A - \cot A.

  4. Question 4

    Similarity. Asked once: Mar 2023 (same type asked 5 times)

    Q2(B)(1)
    In trapezium ABCD, side AB ∥\parallel side PQ ∥\parallel side DC, with P on side AD and Q on side BC. AP=15AP = 15, PD=12PD = 12, QC=14QC = 14. Find BQ.

  5. Question 5

    Trigonometry. Asked once: Mar 2019 (same type asked 5 times)

    Solve the following questions (Any three):
    Q4(iv)
    When an observer at a distance of 12 m from a tree looks at the top of the tree, the angle of elevation is 60∘60^\circ. What is the height of the tree? (3=1.73)(\sqrt{3} = 1.73)