Question

The locus of the vertex of the family of parabolas   is

Solution

Correct option is

Equation of the parabola is

     whose vertex is

     

SIMILAR QUESTIONS

Q1

The tangent at the point P(x1y1) to the parabola y2 = 4ax meets the parabola y2 = 4a(x + b) at Q and R, the coordinates of the mid-point of QR are  

Q2

Consider a parabola y2 = 4ax, the length of focal chord is l and the length of the perpendicular from vertex to the chord is pthen

Q3

Tangent are drawn to a parabola from a point T. If P, Q are the points of constant then perpendicular distance from P, T and upon the tangent at the vertex of the parabola are in.

Q4

Chord of the parabola  which subtend right angle at vertex pass through