MEDIUM
JEE Advanced
IMPORTANT
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Tangent at the vertex of a parabola divides the distance between directrix and latus rectum in the ratio
(a)
(b)
(c)
(d)depends on directrix and focus
(e)None of the above

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Important Questions on Parabola
MEDIUM
JEE Advanced
IMPORTANT
The chord of the parabola cuts the axis of the parabola at If and then

HARD
JEE Advanced
IMPORTANT
is a chord of the parabola If its equation is and it subtends a right angle at the vertex of the parabola, then

MEDIUM
JEE Advanced
IMPORTANT
Locus of trisection point of any double ordinate of is

HARD
JEE Advanced
IMPORTANT
Circle drawn having its diameter equal to focal distance of any point lying on the parabola will touch a fixed line whose equation is

HARD
JEE Advanced
IMPORTANT
An equilateral is inscribed in the parabola having its focus at If chord lies towards the left of then side length of this triangle is

HARD
JEE Advanced
IMPORTANT
Normals are drawn to the parabola from the point If is equilateral, then the possible values of is

MEDIUM
JEE Advanced
IMPORTANT
The locus of centre of a circle that passes through and touch the line (it is given that, ) is

HARD
JEE Advanced
IMPORTANT
The parabola and the circle will have no common tangent, if
