TS EAMCET · Maths · Circle
If a circle passing through \((1,-2)\) has \(x-y=2\) and \(2 x+\) \(3 y=14\) as its diameters, then the radius of the circle is
- A \(2\)
- B \(3\)
- C \(4\)
- D \(5\)
Answer & Solution
Correct Answer
(D) \(5\)
Step-by-step Solution
Detailed explanation
\begin{aligned} & x-y=2 \\ & \therefore \quad y=x-2 \\ & \text { and } 2 x+3 y=14 \\ & 2 x+3(x-2)=14 \\ & 5 x=20 \Rightarrow x=4 \\ & \therefore \quad y=4-2=2 \text {. } \\ & \therefore \quad \text { Centre is }(4,2) \text {. } \\ & \text { Radius…
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