Question

If one end of the diameter of a circle with centre as origin
is (-2, 10), then the length of diameter of the
circle is
(1) 3√97 units
(2) 2√86 units
(3) √183 units
(4) √416 units​

Answer 1

Answer:

(ln this question we need not to find the other end of the diameter.)

This question can be solved as:-)

As one end of the diameter is that is A(-2,10).

Given that centre of the circle is at origin which means the centre is at

O(0,0).

Now using distance formula we can calculate the radius of circle :-.

$AO = \sqrt{ {( - 2 - 0)}^{2} + {(10 - 0)}^{2} } \\ = \sqrt{4 + 100} \\ = \sqrt{104} \\ = 2 \sqrt{26}$

As we know that diameter is twice of the radius,

So , diameter of the circle will be

$2 \times 2 \sqrt{26} \\ = 4 \sqrt{26} \\=\sqrt{416}</p><p>\: \: \: \: \: \: \: \: \: \: \: \: \boxed { \boxed{ANSWER}}$