If a line y=mx+c is a tangent to the circle (x−3)2+y2=1 and it is pe – InterviewSolution

InterviewSolution

1.	If a line y=mx+c is a tangent to the circle (x−3)2+y2=1 and it is perpendicular to a line L1, where L1 is the tangent to the circle x2+y2=1 at the point (1√2,1√2); then:
Answer» If a line $y = m x + c$ is a tangent to the circle $(x - 3)^{2} + y^{2} = 1$ and it is perpendicular to a line $L_{1}$ , where $L_{1}$ is the tangent to the circle $x^{2} + y^{2} = 1$ at the point $(\frac{1}{\sqrt{2}}, \frac{1}{\sqrt{2}})$ ; then:

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