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Question: In the given figure, if TS II QR and TV || QS, then prove that PV/VS = PS/SR.
Answer: Using similarity:
In ∆PVT and ∆PSQ,
PV/TV = PS/QS ...(1)
In ∆SVT and ∆RSQ,
SV/VT = SR/SQ ...(2)
Divide (1) by (2) :
=> (PV/TV) / (SV/VT) = (PS/QS) / (SR/SQ)
=> PV/SV = PS/SR, proved
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