HARD
JEE Main
IMPORTANT
Earn 100
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:
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Important Questions on Parabola
HARD
JEE Main
IMPORTANT
If the point on the curve nearest to the point is then is equal to _________.
EASY
JEE Main
IMPORTANT
Let a parabola be such that its vertex and focus lie on the positive -axis at a distance and units from the origin, respectively. If tangents are drawn from to the parabola which meet at and , then the area (in sq. units) of is equal to :
EASY
JEE Main
IMPORTANT
If the three normals drawn to the parabola, pass through the point , then must be greater than :
MEDIUM
JEE Main
IMPORTANT
Let be the locus of the mirror image of a point on the parabola with respect to the line . Then the equation of tangent to at is :
MEDIUM
JEE Main
IMPORTANT
Let be a tangent line to the parabola at If is also a tangent to the ellipse then the value of is equal to :
MEDIUM
JEE Main
IMPORTANT
The locus of the mid-point of the line segment joining the focus of the parabola to a moving point of the parabola, is another parabola whose directrix is:
HARD
JEE Main
IMPORTANT
A tangent is drawn to the parabola which is perpendicular to the line . Which of the following points does NOT lie on it?
HARD
JEE Main
IMPORTANT
The shortest distance between the line and the curve is:
