The circle drawn on any focal chord of a parabola as diameter touches the
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Step-by-step explanation:
Let
A and B
the ends of focal chord.
Circle is drawn taking AB as diameter.
So as diameter is semi major chord.
Angle subtended by diameter at angle point of circle is same ie. 90∘.
As we know tangent drawn atAB
(ends of focal chord) are always perpendicular and meet at directrix. So, we can claim that circle drown taking AB
are diameter touches directrix of parabola.
Hope it help you
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