Question

For the circle $x ^ { 2 } + y ^ { 2 } + 6 x - 8 y + 9 = 0$, which of the following statements is true.

• A. Circle passes through the point $( - 3,4 )$
• B. Circle touches x-axis
• C. Circle touches y-axis
• D. None of these

Answer 1

Answer: (B)

Circle touches x-axis

Answer 2

$2 \sqrt { g ^ { 2 } - c } = 2 \sqrt { 9 - 9 } = 0$

Intercept cut on x-axis is zero. Hence circle touches x-axis.