Chord of contact and Reflection property

parabola of Class 11

Chord of Contact

Equation of chord of contact is T = 0, i.e. yy1 = 2a(x + x1) from an external point (x1, y1).

Equation of the chord of the parabola with mid point as (x1, y1) is

yy1 − 2a(x + x1) = y12 − 4ax1 or T = S1.

Reflection property

Any ray parallel to the axis of the parabola will pass through focus after reflection.

Chord of contact and Reflection property

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