question_answer

The radius of the circles whose centre is at (0, 0) and which passes through the points (- 6, 8) is ............ .

A) 10 units

B) 11 units

C) 9 units

D) 8 units

Correct Answer: A

Solution :

Let A (0, 0) and B (- 6, 8) be the given points. Now, radius of the circle is same as the distance of the line segment AB.

\[\therefore \,\,\,AB=\sqrt{{{\left( -6-0 \right)}^{2}}+{{\left( 8-0 \right)}^{2}}}\]

\[=\sqrt{36+64}=\sqrt{100}=10\]

Hence, radius of the circle is 10 units.