Question

The length of intercept, the circle $x ^ { 2 } + y ^ { 2 } + 10 x - 6 y + 9 = 0$ makes on the x-axis is.

• A. 2
• B. 4
• C. 6
• D. 8

Answer 1

Answer: (D)

8

Answer 2

Comparing the given equation with

$x ^ { 2 } + y ^ { 2 } + 2 g x + 2 f y + c = 0$ , we get $g = 5$

$\therefore$ Length of intercept on x-axis = $2 \sqrt { g ^ { 2 } - c }$

= $2 \sqrt { ( 5 ) ^ { 2 } - 9 }$= 8.