MEDIUM
JEE Main
IMPORTANT
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If the -intercept of a focal chord of the parabola is , then the length of this chord is equal to _____ .

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Important Questions on Parabola
MEDIUM
JEE Main
IMPORTANT
If a line along a chord of the circle , passes through the point and is tangent to the parabola , then the length of this chord is:

MEDIUM
JEE Main
IMPORTANT
The locus of the mid points of the chords of the hyperbola which touch the parabola is :

MEDIUM
JEE Main
IMPORTANT
A tangent and a normal are drawn at the point on the parabola which meet the directrix of the parabola at the points and respectively. If is a point such that is a square, then is equal to

EASY
JEE Main
IMPORTANT
If two tangents drawn from a point to the parabola are at right angles, then the locus of point is:

EASY
JEE Main
IMPORTANT
The length of the latus rectum of a parabola, whose vertex and focus are on the positive -axis at a distance and respectively from the origin, is :

MEDIUM
JEE Main
IMPORTANT
A tangent line is drawn at the point on the parabola If the line is also tangent to the circle then is equal to .

EASY
JEE Main
IMPORTANT
Consider the parabola with vertex and the directrix Let be the point where the parabola meets the line . If the normal to the parabola at intersects the parabola again at the point then is equal to :

HARD
JEE Main
IMPORTANT
Let the tangent to the parabola at the point meet the axis at and normal at it meet the parabola at the point . Then the area (in sq. units) of the triangle is equal to:
