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,3−α) be any point on x+y=3. ∴ Equation of chord of contact is αx+(3−α)y=9 i.e., α(x−y)+3y−9=0 ∴ The chord passes through the point (3,3) for all values of α.