TS EAMCET · Maths · Straight Lines
A line meets the coordinate axes at \(A\) and \(B\). If the perpendicular distances from \(A\) and \(B\) to the tangent drawn at the origin to the circumcircle of \(\triangle O A B\) are \(m\) and \(n\) respectively, then the diameter of that circle Is
- A \(\frac{m+n}{2}\)
- B \(\frac{3(m+n)}{4}\)
- C \(m+n\)
- D \(2(m+n)\)
Answer & Solution
Correct Answer
(C) \(m+n\)
Step-by-step Solution
Detailed explanation
Equation of circle passing through \((a, 0)(0, b)\) and \((0,0)\) is \(x^2+y^2-a x-b y=0\) Equation of tangent at origin, \(-a x-b y=0\)…
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