Q3. If (4, p) and (1, 0)
are end points of the
diameter of a circle of
length 10cm, find the
centre of the circle.
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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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