JEE Mains · Maths · STD 11 - 10.1 circle and system of circle
If a circle passing through the point \((-1, 0)\) touches \(y-\) axis at \((0, 2)\), then the length of the chord of the circle along the \(x-\) axis is
- A \(\frac{3}{2}\)
- B \(3\)
- C \(\frac{5}{2}\)
- D \(5\)
Answer & Solution
Correct Answer
(B) \(3\)
Step-by-step Solution
Detailed explanation
Let \('h'\) be the radius of the circle and since circle touches \(y\) -axis at \((0,2)\) therefore center \(=(h,2)\) Now, eqn of circle is \({\left( {h + 1} \right)^2} + {2^2} = {h^2}\) \( \Rightarrow 2h + 5 = 0\) From the figure, it is clear that \(AB\) is the chordalong…
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