Question

if (4,p) and (1,0)are end points of the diameter of a circle of length 10 cm ,find the centre of the circle. ​

Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

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 + p²

=> 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, 0)  

Center of circle will be mid point

=  ( 5/2 , -√91/2)

Center of circle is ( 5/2 , ±√91/2)

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