Question

Calculate the co-ordinates of centre of circle in the following figure:
​

Answer 1

$\textbf{Given:}$

$\text{Extremities of diameter are (0,7) and (0,-1)}$

$\text{We know that centre of circle is the midpoint}$

$\text{of extremities of diameter}$

$\text{Now,}$

$\text{Centre of circle is}$

$\bf(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})$

$=(\frac{0+0}{2},\frac{7+(-1)}{2})$

$=(0,3)$

$\therefore\textbf{Centre of the circle is (0,3)}$

Answer 2

Co-ordinates of center of circle is (0,3)

Step-by-step explanation:

Given:

End point of diameter = (0,7) , (0,-1)

Find:

Co-ordinates of center of circle.

Computation:

Using Mid point formula.

$X = \frac{x1+x2}{2} , Y = \frac{y1+y2}{2}\\\\X = \frac{0+0}{2} , Y = \frac{7+(-1)}{2}\\\\X = \frac{0}{2} , Y = \frac{6}{2}\\\\X = 0, Y =3$

Co-ordinates of center of circle is (0,3)

Learn more:

https://brainly.in/question/10414644