The circle described on any focal chord of a parabola as diameter touches the directrix.
A
True
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B
False
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Solution
The correct option is A True 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.