Question

A circle has its centre at origin and a point $A(0,6)$ lies on it. The point $B(5,7)$ lies

• A. outside the circle.
• B. outside the circle but in $4^{th}$ quadrant
• C. outside the circle but on x-axis
• D. outside the circle but on y-axis

Answer 1

The correct option is A outside the circle.

If A lies on the circle, then the radius of circle is $6$ units.

Now point $B(5,7)$ whose abscissa is $5$ and ordinate is $7$ lies outside the circle.

The distance between point O & point B is

$\sqrt{(5-0)+(7-0{)}^2}=\sqrt{25+49}$
$=\sqrt{74}>6$

So, option A is correct.