The Locus Of The Vertex Of The Family Of Parabolas is

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Question

The locus of the vertex of the family of parabolas is

easy

Solution

Correct option is

Equation of the parabola is

whose vertex is

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SIMILAR QUESTIONS

Q1

The tangent at the point P(x₁, y₁) 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

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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

medium View solution

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 Q upon the tangent at the vertex of the parabola are in.

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Q4

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

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