Q93 / 160 · AP EAMCET 2006 · Mathematics

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?

  • A
    Both I and II are true
  • Correct answer
    B
    Neither I nor II is true
  • C
    I is true, II is false
  • D
    I is false, II is true

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. $\therefore$ Neither I nor II is true.

Hence, the correct answer is option: 'B'.

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