Question

The intercept made by the circle with centre $(3,4)$ and passing through $(6,8)$ on the y-axis is

• A. $6$
• B. $8$
• C. $10$
• D. $12$

Answer 1

Answer: (B)

$8$

$e{q}^n$ of circle passing through $(6,8)$ and having centre $(3,4)B$
$(x-3{)}^2+(y-4{)}^2=(3^2+4^2)$
$x^2+y^2-6x-8y+25=25$
$x^2+y^2-6n-8y=0$
so,Y-intercept made by circle$=2\sqrt{8^2-c}$
$=2\sqrt{(-4{)}^2-0}$
$=2\times 4$
$=8$