PYQ Vault

Day 22: MH SSC Class 10 Geometry

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

  1. Question 1

    Trigonometry. Asked once: Jun 2026 (same type asked 5 times)

    Q5(2)
    α\alpha is acute angle. If 3sin⁡α−4cos⁡α=03\sin\alpha - 4\cos\alpha = 0, then find the values of tan⁡α\tan\alpha and sec⁡α\sec\alpha.

  2. Question 2

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

    Q2(B)(1)
    In the following figure, in △LMN\triangle LMN, ray MT bisects ∠LMN\angle LMN. If LM=6LM = 6, MN=10MN = 10, TN=8TN = 8, then find LT.

  3. Question 3

    Trigonometry. Asked once: Mar 2020 (same type asked 5 times)

    Q5(ii)
    If sin⁡θ+sin⁡2θ=1\sin\theta + \sin^2\theta = 1, show that: cos⁡2θ+cos⁡4θ=1\cos^2\theta + \cos^4\theta = 1.

  4. Question 4

    Similarity. Asked once: Jul 2024 (same type asked 5 times)

    Q3(A)(1)
    In the given figure, AB∥CD∥EFAB \parallel CD \parallel EF. If AC=12AC = 12, CE=9CE = 9, BD=8BD = 8, then complete the following activity to find DF.

  5. Question 5

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

    Q2(B)(5)
    A person is standing at a distance of 50 m from a temple looking at its top. The angle of elevation is 45∘45^\circ. Find the height of the temple.