1.

Consider a circle with its centre lying on the focus of the parabola \[{{y}^{2}}=2px\] such that it touches the directrix of the parabola. Then, a point of intersection of the circle and the parabola is                           [IIT 1995]

A.            \[\left( \frac{p}{2},\ p \right)\]
B.            \[\left( \frac{p}{2},\ -p \right)\]
C.            \[\left( \frac{-p}{2},\ p \right)\]      
D.            \[\left( \frac{-p}{2},\ -p \right)\]
Answer» C.            \[\left( \frac{-p}{2},\ p \right)\]      


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