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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:
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?
Solution:
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Verified Answer
The correct answer is:
Neither I nor II is true
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.
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.
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