EASY
JEE Main
IMPORTANT
Earn 100

A normal to a parabola whose inclination is 30° cuts it again at an angle of

50% studentsanswered this correctly

Important Questions on Parabola

MEDIUM
JEE Main
IMPORTANT
If -2,5 and 3,7 are the points of intersection of the tangent and normal at a point on a parabola with the axis of the parabola, then the focal distance of that point is
MEDIUM
JEE Main
IMPORTANT
The angle of intersection between the curves x2=4y+1 and x2=-4y+1 is
HARD
JEE Main
IMPORTANT
The parabolas y2=4ax and x2=4by intersect orthogonally at point Px1,y1, where x1, y10. Then
HARD
JEE Main
IMPORTANT
The sum of the slopes of common tangents to y=x24-3x+10 and y=2-x24 is
MEDIUM
JEE Main
IMPORTANT
The slope of the normal to the parabola y=x24-2 passing through the point 10,-1 is
HARD
JEE Main
IMPORTANT
The tangent and normal at the point P4, 4 to the parabola y2=4x intersect the x-axis at the points Q and R, respectively. Then the circumcenter of ΔPQR is
EASY
JEE Main
IMPORTANT
The point on the parabola y2=8x at which the normal is inclined at 60° to the x-axis has the coordinates
MEDIUM
JEE Main
IMPORTANT
Two distinct chords of the parabola y2=4ax passing through a,2a are bisected by the line x+y=1. The length of the latus rectum of the parabola can be