TS EAMCET · Maths · Circle
A circle passes through the point \((3,4)\) and cuts the circle \(x^2+y^2=a^2\) orthogonally; the locus of its centre is a straight line. If the distance of this straight line from the origin is 25 , then \(a^2\) is equal to
- A \(250\)
- B \(225\)
- C \(100\)
- D \(25\)
Answer & Solution
Correct Answer
(B) \(225\)
Step-by-step Solution
Detailed explanation
Since, the circle passes through \((3,4)\) and cuts the circle \(x^2+y^2=a^2\) orthogonally. \(\therefore \quad(x-3)^2+(y-4)^2=0\) Also, \(\quad x^2+y^2-a^2=0\) \(\therefore\) Fquation of radical axis,…
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