Perpendiculars are drawn, respectively, from the points $P a n d Q$ to the chords of contact of the points $Q a n d P$ with respect to a circle. Prove that the ratio of the lengths of perpendiculars is equal to the ratio of the distances of the points $P a n d Q$ from the center of the circles.

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Perpendiculars are drawn, respectively, from the points

P a n d Q

to the chords of contact of the points

Q a n d P

with respect to a circle. Prove that the ratio of the lengths of perpendiculars is equal to the ratio of the distances of the points

P a n d Q

from the center of the circles.

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Question Text

Perpendiculars are drawn, respectively, from the points

P a n d Q

to the chords of contact of the points

Q a n d P

with respect to a circle. Prove that the ratio of the lengths of perpendiculars is equal to the ratio of the distances of the points

P a n d Q

from the center of the circles.

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