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A straight line through the vertex `P` of a triangle `P Q R` intersects the side `Q R` at the points `S` and the cicumcircle of the triangle `P Q R` at the point `Tdot` If `S` is not the center of the circumcircle, then `1/(P S)+1/(S T)<2/(sqrt(Q SxxS R))` `1/(P S)+1/(S T)>2/(sqrt(Q SxxS R))` `1/(P S)+1/(S T)<4/(Q R)` `1/(P S)+1/(S T)>4/(Q R)`

A

`(1)/(PS) +(1)/(ST)lt (2)/(sqrt(QSxxSR))`

B

`(1)/(PS) +(1)/(ST) gt(2)/(sqrt(QSxxSR))`

C

`(1)/(PS) +(1)/(ST) lt (4)/(QR)`

D

`(1)/(PS)+ (1)/(ST) gt (4)/(QR)`

Text Solution

Verified by Experts

The correct Answer is:
D
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