Points A(-1, y) and B(5, 7) lie on a circle with centre O(2, -3y). Find the value of y. Hence find the radius of the circle.
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6
Answer:
the value of y= -1. and the radius is = 5 because the diameter of the circle is 10 so...
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4
Answer:
(2-(-1))² + (y-(-3y))²= (5-2)² + (7-(-3y))²
=>9+16y² =9 +(7+3y)²
=>16y²=49+9y²+42y
=>7y²-42y-49=0
=>y²-6y-7=0
=>y²-7y+y-7=0
=>y(y-7)+1(y-7)=0
(y-7)=0 or (y+1)=0
=>y=7 or y=-1
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