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in Trigonometry by (53.7k points)

A straight line through the vertex P of a △PQR intersects the side QR at the point S and the circumcircle of the triangle PQR at the point T. If S is not the centre of the circumcircle, then

(a) \(\frac1{PS} + \frac1{ST} < \frac 2{\sqrt{QS \times SR}}\)

(b) \(\frac1{PS} + \frac1{ST} > \frac 2{\sqrt{QS \times SR}}\)

(c) \(\frac1{PS} + \frac1{ST} < \frac 4{QR}\)

(d) \(\frac1{PS} + \frac1{ST} > \frac 4{QR}\)

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