JEE Mains · Maths · STD 11 - 10.1 circle and system of circle
A circle touching the \(x-\) axis at \((3, 0)\) and making an intercept of length \(8\) on the \(y-\) axis passes through the point
- A \((3, 5)\)
- B \((1, 5)\)
- C \((3, 10)\)
- D \((2, 3)\)
Answer & Solution
Correct Answer
(C) \((3, 10)\)
Step-by-step Solution
Detailed explanation
Equation of required circle will be \({\left( {x - 3} \right)^2} + {\left( {y \pm r} \right)^2} = {r^2}\) \({x^2} + 6x + 9 + {y^2} \pm 2ry + {r^2} = {r^2}\) \({x^2} + {y^2} - 6x \pm 2ry + 9 = 0\,\,\,\,\,\,......\left( 1 \right)\) Length of \(y\) intercept…
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