A straight line through the vertex P of a triangle PQR, intersects the side QR at the…

Mathematics · JEE Advanced · NTA Exams — Co-ordinate Geometry

1. \(\frac{1}{\mathrm{PS}}+\frac{1}{\mathrm{ST}}<\frac{2}{\sqrt{\mathrm{QS} \times \mathrm{SR}}}\)
2. \(\frac{1}{\mathrm{PS}}+\frac{1}{\mathrm{ST}}>\frac{2}{\sqrt{\mathrm{QS} \times \mathrm{SR}}}\)
3. \(\frac{1}{\mathrm{PS}}+\frac{1}{\mathrm{ST}}<\frac{4}{\mathrm{QR}}\)
4. \(\frac{1}{\mathrm{PS}}+\frac{1}{\mathrm{ST}}>\frac{4}{\mathrm{QR}}\)

Answer

(B) 1 PS + 1 ST > 2 QS SR, (D) 1 PS + 1 ST > 4 QR

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