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Question

P is a point situated inside a circle. Line 'l' is the polar of point P. Then chord of contact of any point from the line 'l' passes through point p.


A

True

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B

False

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Solution

The correct option is A

True


Drawing a chord of contact of a point from 'l' is simply the reverse of the process of drawing the polar itself. When we draw polar, we took many secants going through p to find the locus of all points of intersections of tangents from the ends of the secants. If we take such a locus point and draw tangents to circle and get the chord of contact the we would get the exact secants. Hence all such chords will go through the point P.


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