find the point on the y-axis which is equidstand from the point(3,4) and (6,7)
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Step-by-step explanation:
Point on Y-axis ,(0,y) be Y.
points are A(3,4) and B(6,7)
D=√(x2-x1)²+(y2-y1)²
Now by taking AY=BY
√(0-3)²+(y-4)²=√(6-0)²+(7-y)²
√9+y²+16-8y=√36+49+y²-14y
By squaring on both side:
y²-8y+25=y²-14y+85
y²-8y-y²+14y=85-25
6y=60
y=10.
The point on y-axis is (0,10).
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