IIT-JEE 1995 Screening | Parabola Question 52 | Mathematics

IIT-JEE 1995 Screening

MCQ (Single Correct Answer)

-0.5

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 parabola is

$$\left( {{p \over 2},p} \right)$$ or $$\left( {{p \over 2},- p} \right)$$

$$\left( { {p \over 2}, {p \over 2}} \right)$$

$$\left( -{{p \over 2},p} \right)$$

$$\left( { - {p \over 2}, - {p \over 2}} \right)$$

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