Problem

Problem

A straight line through the vertex

P

of a

\Delta PQR

intersects the side

QR

at the point

S

and the circum-circle of the

\Delta PQR

at the point

T

. If

S

is not the centre of the circumcircle, then a.

\frac{1}{PS} + \frac{1}{ST} < \frac{2}{\sqrt{QS \times SR}}

b.

\frac{1}{PS} + \frac{1}{ST} > \frac{2}{\sqrt{QS \times SR}}

c.

\frac{1}{PS} + \frac{1}{ST} < \frac{4}{QR}

d.

\frac{1}{PS} + \frac{1}{ST} > \frac{4}{QR}

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