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

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Important Questions on Parabola

MEDIUM
JEE Advanced
IMPORTANT
​​The chord AB of the parabola y2=4ax cuts the axis of the parabola at C. If A=at12, 2at1, B=at22, 2at2 and AC:AB=1:3, then
HARD
JEE Advanced
IMPORTANT
AB is a chord of the parabola y2=4ax. If its equation is y=mx+c 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 y2=4ax is
HARD
JEE Advanced
IMPORTANT
Circle drawn having its diameter equal to focal distance of any point lying on the parabola x2-4x+6y+10=0, will touch a fixed line whose equation is
HARD
JEE Advanced
IMPORTANT
An equilateral ΔSAB is inscribed in the parabola y2=4ax having its focus at S. If chord AB lies towards the left of S, then side length of this triangle is
HARD
JEE Advanced
IMPORTANT
Normals AO, AA1, AA2 are drawn to the parabola y2=8x from the point Ah, 0. If ΔOA1A2 is equilateral, then the possible values of h is
MEDIUM
JEE Advanced
IMPORTANT
The locus of centre of a circle that passes through P(a, b) and touch the line y=mx+c (it is given that, bma+c) is
HARD
JEE Advanced
IMPORTANT
The parabola y2=4x and the circle x-62+y2=r2 will have no common tangent, if