AP EAMCET · Maths · Circle
The equation of circle with centre \((2,-3)\) and touching \(X\)-axis is
- A \(x^2+y^2-4 x-6 y+4=0\)
- B \(x^2+y^2-4 x-6 y-8=0\)
- C \(x^2+y^2-4 x+6 y+4=0\)
- D \(x^2+y^2+4 x-6 y+8=0\)
Answer & Solution
Correct Answer
(C) \(x^2+y^2-4 x+6 y+4=0\)
Step-by-step Solution
Detailed explanation
(c) Centre is \((2,-3)\), circle touches \(X\)-axis, \[ \therefore \text { Radius }=|-3|=3 \text {. } \] \(\therefore\) Circle is \((x-2)^2+(y+3)^2=9\) \[ \Rightarrow \quad x^2+y^2-4 x+6 y+4=0 \]
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