state gov DDA Junior Secretariat Assistant (JSA) Mock Test 2023 Quantitative Aptitude Geometry Circles, Chords and Tangents
A straight line through point P of a triangle PQR intersects the side QR at the point S and circumcircle of the triangle PQR at the point T. If S is not the centre of the circumcircle, then which of the following is true?
1
\(\rm\frac{1}{P S}+\frac{1}{S T}<\frac{2}{\sqrt{Q R}}\)
2
\(\rm\frac{1}{P S}+\frac{1}{S T}<\frac{4}{Q R}\)
3
\(\rm\frac{1}{P S}+\frac{1}{S T}>\frac{1}{\sqrt{(Q S)(Q R)}}\)
4
\(\rm\frac{1}{P S}+\frac{1}{S T}>\frac{4}{Q R}\)