if the distance of the point(a,b) from(-3,0) as well as(3,0) are 4each,find a and b
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P(a,b), A(-3,o) and B(3,0)
PA=PB
(-3-a)²+(0-b)²=(3-a)²+(0-b)² After squaring both sides we remove root
9+6a+a²+b²=9-6a+a²+b²
6a=-6a
6a+6a=0
12a=0
∴a=0
PA=4
(-3-a)²+(o-b)²=16 squaring in both sides
(-3-0)²+b²=16
9+b²=16
b²=7 ∴b=√7
∴
PA=PB
(-3-a)²+(0-b)²=(3-a)²+(0-b)² After squaring both sides we remove root
9+6a+a²+b²=9-6a+a²+b²
6a=-6a
6a+6a=0
12a=0
∴a=0
PA=4
(-3-a)²+(o-b)²=16 squaring in both sides
(-3-0)²+b²=16
9+b²=16
b²=7 ∴b=√7
∴
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