AP EAMCET · Maths · Circle
The equation of a circle with center at \((-2,3)\) and circumference of \(4 \pi\) units is
- A \(x^2+y^2+4 x-6 y-9=0\)
- B \(x^2+y^2+4 x-6 y+9=0\)
- C \(x^2+y^2+4 x-6 y-3=0\)
- D \(x^2+y^2-4 x+6 y-9=0\)
Answer & Solution
Correct Answer
(B) \(x^2+y^2+4 x-6 y+9=0\)
Step-by-step Solution
Detailed explanation
Circumference of circle is \(4 \pi\). \(\therefore \quad 2 \pi r=4 \pi ; \therefore r=2\) Equation of circle whose centre is \((-2,3)\) and radius 2 is \((x+2)^2+(y-3)^2=4\) \(\therefore \quad x^2+y^2+4 x-6 y+9=0\)
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