The point of contact of a tangent from the point (1,2) to the circle x^2+y^2=1 has the coordinates

JEE Advanced Mathematics question

The point of contact of a tangent from the point to the circle has the coordinates

Answer: (A),(D)

(as printed) Let the point of contact be . The tangent passes through , so ; also . Put :

1-+=1 ⇒ -4)=0 ⇒ ,=(1,0)\ or\ (-35,45).

Check: the tangents from to the un

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Question ID VK-108978