AP EAMCET · Maths · Circle
The circle possessing \(y\)-axis as its tangent at \((0,2)\) and passing through \((-1,0)\), also passes through
- A \(\left(\frac{-3}{2}, 0\right)\)
- B \(\left(\frac{-5}{2}, 2\right)\)
- C \(\left(\frac{-3}{2}, \frac{5}{2}\right)\)
- D \((-4,0)\)
Answer & Solution
Correct Answer
(D) \((-4,0)\)
Step-by-step Solution
Detailed explanation
Let \((h, k)\) be centre of circle. Circle touches the \(y\)-axis \(\therefore\) Radius of circle \(=\mathrm{h}\) Equation of cicle \[ (\mathrm{x}-\mathrm{h})^2+(\mathrm{y}-\mathrm{k})^2=\mathrm{h}^2 . \] It passes through \((0,2)\)…
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