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Question

If the tangents are drawn from any point on the line x+y=3 to the circle x2+y2=9, then the chord of contact passes through the point

A
(3,5)
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B
(3,3)
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C
(5,3)
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D
None of these
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Solution

The correct option is B (3,3)
Let (α,3α) be any point on x+y=3.
Equation of chord of contact is αx+(3α)y=9
i.e., α(xy)+3y9=0
The chord passes through the point (3,3) for all values of α.

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