Consider a circle with its centre lying on the focus of the parabola, y 2 = 2 px (p > 0)…
Mathematics · JEE Advanced · NTA Exams — Co-ordinate Geometry
Consider a circle with its centre lying on the focus of the parabola, y2 = 2 px (p > 0) such that it touches the directrix of the parabola. Then a point of intersection of the circle & the parabola is :
- \(\left(\frac{\mathrm{p}}{2}, \mathrm{p}\right)\)
- \(\left(\frac{\mathrm{p}}{2},-\mathrm{p}\right)\)
- \(\left(-\frac{\mathrm{p}}{2}, \mathrm{p}\right)\)
- \(\left(-\frac{\mathrm{p}}{2},-\mathrm{p}\right)\)
Answer
(A) ( p 2 , p ), (B) ( p 2 ,- p )
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