JEE Mains · Maths · STD 11 - 10.1 circle and system of circle
The circle passing through \(( 1, -2)\) and touching the axis of \(x\) at \((3, 0)\) also passes through the point
- A \((-5,2)\)
- B \((2,-5)\)
- C \((5,-2)\)
- D \((-2,5)\)
Answer & Solution
Correct Answer
(C) \((5,-2)\)
Step-by-step Solution
Detailed explanation
Let the equation of circle be \((x-3)^{2}+(y-0)^{2}+\lambda y=0\) As it passes through \((1,-2)\) \(\therefore \) \((1-3)^{2}+(-2)^{2}+\lambda(-2)=0\) \(\Rightarrow \quad \lambda=4\) \(\therefore \) equation of circle is \((x-3)^{2}+y^{2}-8=0\) so \((5,-2)\) satisfies equation…
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