Question

The line segment joining A(-3,1) B(5,-4) is a diameter of a circle whose centre is C . Find the coordinates of the point C .

Answer 1

(-3+5)/2, (1-4)/2
=2/2, -3/2

Answer 2

${ \huge{ ➾}} \: \underline{ \underline{{ \huge{ \mathbb{ R}}} \mathtt{equired} \: \: { \huge{ \mathbb{ A}}} \mathtt{nswer :-}}}$

--------------------

We know that,

$\sf \: A(-3 , 1) =( x_1 , y_1)$

$\sf \: B(5 , -4) = (x_2 , y_2)$

--------------------

Let the point C = (m , n)

Since,

C is the midpoint.

therefore,

$\: \longrightarrow\sf \: C = ( \dfrac{x_1 + x_2}{2} ), (\dfrac{y_1 + y_2}{2} )$

$\: \longrightarrow\sf \: C = ( \dfrac{ - 3 + 5}{2} ) \: ,\: ( \dfrac{1 + ( - 4)}{2} )$

$\: \longrightarrow\sf \: C = (\dfrac{ \cancel{2}}{ \cancel{2}}) \: , \: ( \dfrac{1 - 4}{2} )$

$\: \longrightarrow\sf \: C =( 1 \:, \: - \dfrac{3}{2} ) \: \: \:... ans$

--------------------

@MissSolitary ✌️

--------------------