TS EAMCET · Maths · Circle
If the parametric equations of the circle passing through the points \((3,4),(3,2)\) and \((1,4)\) is \(x=a+r \cos \theta, y=b+r \sin \theta\), then \(b^a r^a=\)
- A 27
- B 18
- C 9
- D 54
Answer & Solution
Correct Answer
(B) 18
Step-by-step Solution
Detailed explanation
A circle is passing through \((3,4),(3,2)\) and \((1,4)\). Clearly, \(\triangle A B C\) is a right angle triangle \(-\) centre of circle is mid-point of \(A C\) i.e., \(O(2,3)\) \(r=A O=\sqrt{(3-2)^2+(2-3)^2}=\sqrt{1+1}=\sqrt{2}\) Equation of circle in parameter form is…
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