CircleHard

Question

If y = 3x is a tangent to a circle with centre (1, 1), then the other tangent drawn through (0, 0) to the circle is :-

Options

A.3y = x
B.y = -3x
C.y = 2x
D.y = -2x

Solution

Radius of the circle = Perpendicular distance of (1, 1) from y - 3x = 0
    =
Let the other tangent be y - kx = 0
⇒  Perpendicular distance from (1, 1) = radius
⇒      ⇒ k = 3,
Therefore other tangent is y = x

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