TS EAMCET · Maths · Circle
The radius of the circle having three chords along \(y\)-axis, the line \(y=x\) and the line \(2 x+3 y=10\) is
- A \(\frac{10}{\sqrt{13}}\)
- B \(\frac{\sqrt{26}}{3}\)
- C \(\frac{5}{\sqrt{13}}\)
- D \(\frac{10}{3}\)
Answer & Solution
Correct Answer
(B) \(\frac{\sqrt{26}}{3}\)
Step-by-step Solution
Detailed explanation
Vertices of the triangle formed by the lines: \(A = (0,0)\) \(B = (0, 10/3)\) \(C = (2,2)\) Side lengths: \(a = BC = \sqrt{(2-0)^2 + (2-10/3)^2} = \sqrt{4 + (-4/3)^2} = \sqrt{4 + 16/9} = \sqrt{52/9} = \frac{2\sqrt{13}}{3}\)…
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