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An infinite number of tangents can be dr...

An infinite number of tangents can be drawn from `(1,2)` to the circle `x^2+y^2-2x-4y+lambda=0` . Then find the value of `lambda`.

Text Solution

Verified by Experts

The correct Answer is:
5
Clearly, the point (1,2) is the center of the given circle and infinite tanegents can only be drawn on a point circle.
Hence, the radius should be 0. Therefore,
`sqrt(1^(2)+2^(2)-lambda)=0` or `lambda =5`
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