AP EAMCET · Maths · Circle
If \(y=3 x\) is a tangent to a circle with centre \((1,1)\), then the other tangent drawn through \((0,0)\) to the circle is
- A \(3 y=x\)
- B \(y=-3 x\)
- C \(y=2 x\)
- D \(y=-2 x\)
Answer & Solution
Correct Answer
(A) \(3 y=x\)
Step-by-step Solution
Detailed explanation
Since the line \(y-3 x=0\) touches the circle \(\therefore\) radius \(=\) perpendicular distance from the centre \((1,1)\) to the tangent Let the other equation of tangent which is passing through origin is \(y=m x\). \(\text { radius }=\frac{|1-m|}{\sqrt{1+m^2}}\)…
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