Question

if (4,p) and (1,o) are end point of the diameter
of a Circle of length 10cm, find the centre of the​

Answer 1

Answer:

4p+1/2, p+o/2

4p+1/2,p/2

Answer 2

Answer:

Given : (4, p) and (1, 0) are end points of the diameter of a circle of length 10cm

To Find : centre of the circle

Solution:

(4, p) and (1, 0) are end points of the diameter of a circle

=> 102 = (4 - 1)2 + (p - 0)2 => 100 = 9+p?

=> p² = 91

=> p = ±✓91

Case 1:

p = +✓91

(4, ✓91) and (1, 0)

Center of circle will be mid point

( 5/2 , √91/2)

Case 2:

p = -✓91

(4, -✓91) and (1, O)

Center of circle will be mid point

= ( 5/2 , -✓91/2).

SO THE COORDINATES OF THE CENTER OF THE CIRCLE CAN BE ( 5/2 , √91/2) AND ( 5/2 , -✓91).