PYQ Vault

Day 36: MH SSC Class 10 Geometry

5 questions (7 parts). Try each one first, then open its answer.

  1. Question 1 (case study, 3 parts)

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

    In the following figure, seg DH⊥DH \perp seg EFEF and seg GK⊥GK \perp seg EFEF. If DH=12DH = 12 cm, GK=20GK = 20 cm and A(△DEF)=300A(\triangle DEF) = 300 cm2^2, then find the following.
    Q3(i)(a)
    Find EFEF.
    Q3(i)(b)
    Find A(△GEF)A(\triangle GEF).
    Q3(i)(c)
    Find A(□DFGE)A(\square DFGE).

  2. Question 2

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

    Q2(iv)
    If cos⁡θ=2425\cos\theta = \dfrac{24}{25}, where θ\theta is an acute angle, find the value of sin⁡θ\sin\theta.

  3. Question 3

    Similarity. Asked once: Mar 2016 (same type asked 5 times)

    Q2(i)
    In △PQR\triangle PQR, seg RSRS is the bisector of ∠PRQ\angle PRQ. If PS=6PS = 6, SQ=8SQ = 8, PR=15PR = 15, find QRQR.

  4. Question 4

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

    Q2(B)(i)
    In △PQR\triangle PQR, NM∥RQNM \parallel RQ. If PM=15PM = 15, MQ=10MQ = 10, NR=8NR = 8, then find PN.

  5. Question 5

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

    Q3(iv)
    From the top of a lighthouse, an observer looks at a ship and finds the angle of depression to be 60∘60^\circ. If the height of the lighthouse is 90 metres, then find how far the ship is from the lighthouse. (3=1.73)(\sqrt{3} = 1.73)