JEE Mains · Maths · STD 11 - 10.1 circle and system of circle
Let a circle \(C\) pass through the points \((4,2)\) and \((0,2)\), and its centre lie on \(3 x+2 y+2=0\). Then the length of the chord, of the circle \(C\), whose mid-point is \((1,2)\), is :
- A \(\sqrt{3}\)
- B \(2 \sqrt{2}\)
- C \(2 \sqrt{3}\)
- D \(4 \sqrt{2}\)
Answer & Solution
Correct Answer
(C) \(2 \sqrt{3}\)
Step-by-step Solution
Detailed explanation
Let the centre be \(\left(-2 a, \frac{6 a-2}{2}\right) \equiv(-2 a, 3 a-1)\) Centre is equal distance from \((4,2)\) and \((0,2)\)…
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