TS EAMCET · Maths · Circle
Two circles of equal radius \(a\) cut orthogonally. If their centres are \((2,3)\) and \([5,6]\) then radical axis of these circles passes through the point
- A \((3 a, 5 a)\)
- B \((2 a, a)\)
- C \(\left(a, \frac{5 a}{3}\right)\)
- D \((a, a)\)
Answer & Solution
Correct Answer
(C) \(\left(a, \frac{5 a}{3}\right)\)
Step-by-step Solution
Detailed explanation
Let \(S_1\) be the circle with centre \((2,3)\) and radius a. Let \(S_2\) be the circle with centre \((5,6)\) and radius a. Then \(S_1 \equiv(x-2)^2+(y-3)^2-a^2=0\) and \(S_2=(x-5)^2+(y-6)^2-a^2=0\) Now, radical axis of these circle is given by \(S_1-S_2=0\)…
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