MEDIUM
JEE Advanced
IMPORTANT
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and are two mutually perpendicular chords of being the origin. Line will always passes through the point
(a)
(b)
(c)
(d)
(e)

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Important Questions on Parabola
MEDIUM
JEE Advanced
IMPORTANT
The length of latus rectum of the parabola, whose focus is and directrix is the line is

HARD
JEE Advanced
IMPORTANT
The point is an interior point of the region bounded by the parabola and the double ordinate through the focus. Then, belongs to the open interval

EASY
JEE Advanced
IMPORTANT
The vertex of a parabola is at the centre of a circle and parabola cuts the circle at ends of its latus rectum. Then, equation of the circle is

HARD
JEE Advanced
IMPORTANT
is a chord of the parabola with vertex is drawn perpendicular to meeting the axis at The projection of on the axis of the parabola is

HARD
JEE Advanced
IMPORTANT
The circle touches the parabola externally. Then,

HARD
JEE Advanced
IMPORTANT
Vertex of the parabola whose parametric equation is is

HARD
JEE Advanced
IMPORTANT
The circle cuts the parabola at point then

HARD
JEE Advanced
IMPORTANT
A circle is drawn to pass through the extremities of latus rectum of the parabola . It is given that this circle also touches the directrix of the parabola. Radius of this circle is equal to
