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Question

AB is a diameter of a circle, where A(-3,-4) and B(3,4). Find its centre and length of diameter.


A

centre=(0,4)radius=19cm

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B

centre=(0,0)radius=10cm

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C

centre=(5,5)radius=8cm

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D

centre=(8,4)radius=20cm

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Solution

The correct option is A

centre=(0,0)radius=10cm


Let O be the centre of the circle and A(-3,-4)and B(3,4) are the two and points of the diameter AB, of the circle.

O is the midpoint of AB

x=3+32=0

y=442=0

Centre O(x,y) = O(0,0)

Length of diameter.

(x2x1)2+(y2y1)2

=(3)(3)2+(4(4))2=62+82

=102=10cm


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