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KCET2013MathematicsCircle

The length of the chord of the circle x²+y²+3 x+2 y-8=0 intercepted by the y -axis is

Options

  1. A3
  2. B8
  3. C9
  4. D6

Correct answer

D. 6

Step-by-step solution

Given equation of circle is x²+y²+3 x+2 y-8=0 On comparing with array r x²+y²+2 g x+2 f y+c=0, we get g= 3 2 , f=1 and c=-8 array Now, intercept made by y -axis aligned &=2 f²-c &=2 (1)²-(-8) &=2 1+8 =2 9 &=2 3=6 aligned

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