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AP EAMCET2006MathematicsCircle

Observe the following statements : I. The circle x^2+y^2-6 x-4 y-7=0 touches y -axis. II. The circle x^2+y^2+6 x+4 y-7=0 touches x -axis. Which of the following is a correct statement?

Options

  1. ABoth I and II are true
  2. BNeither I nor II is true
  3. CI is true, II is false
  4. DI is false, II is true

Correct answer

B. Neither I nor II is true

Step-by-step solution

I. Since the equation of circle is not in the form of x^2+y^2-2 h x-2 k y+k^2=0 , then the circle does not touch y -axis. II. Since the equation of circle is not in the form of x^2+y^2-2 h x-2 k y+h^2=0 , then the circle does not touch x -axis. Neither I nor II is true.

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