SaraNextGen.Com

Consider a circle with its centre lying on the focus of the parabola  such that it touches the directrix of the parabola. Then a point of intersection of the circle and parabola is

a)

or

b)

c)

d)



Question ID - 55941 | SaraNextGen Top Answer

Consider a circle with its centre lying on the focus of the parabola  such that it touches the directrix of the parabola. Then a point of intersection of the circle and parabola is

a)

or

b)

c)

d)

1 Answer
127 votes
Answer Key / Explanation : (a) -

(a)

The focus of parabola  is  and directrix

Centre of circle is  and radius

 Equation of circle is

Or

Solving this circle with the given parabola, we have (eliminating )

(not possible),

Therefore, required points are

127 votes


127