AP EAMCET · Maths · Circle
If a circle of radius 3 passes through the point \((7,3)\) and -has its centre on the line \(x-y-1=0\), then its equation among the following is
- A \(x^2+y^2+14 x-12 y+76=0\)
- B \(x^2+y^2+14 x-12 y+76=0\)
- C \(x^2+y^2+8 x-6 y+16=0\)
- D \(x^2+y^2-14 x-12 y+76=0\)
Answer & Solution
Correct Answer
(D) \(x^2+y^2-14 x-12 y+76=0\)
Step-by-step Solution
Detailed explanation
Let \(c(h, k)\) be the centre of the given circle. \(\because c(h, k)\) lies on the line \(x-y-1=0\) \(\Rightarrow \quad h-k-1=0\) \(\Rightarrow \quad h=k+1 \quad \ldots\) (i) Now, \(C P\) is the radius.…
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