AP EAMCET · Maths · Circle
The length of the chord intercepted by the circle \(x^2+y^2-4 x+6 y-12=0\) on the line \(4 x+3 y+1=0\) is
- A 3
- B 4
- C 10
- D 8
Answer & Solution
Correct Answer
(C) 10
Step-by-step Solution
Detailed explanation
Center \( C = (2, -3) \) Radius \( r = \sqrt{(-2)^2+3^2-(-12)} = 5 \) Perpendicular distance \( d = \frac{|4(2)+3(-3)+1|}{\sqrt{4^2+3^2}} = 0 \) Chord length \( = 2r = 2(5) = 10 \)
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