8. Find the coordinates of the point on x-axis which is equidistant from
the points (-2,5) and (2,-3).
[CBSE 2017]
TO
on the
borayic ach of yothich is at a distance of 10 units from
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Step-by-step explanation:
The point on x-axis, (x,0) be X.
End points are A(-2,5) and B(2,-3).
D=√(x2-x1)²+(y2-y1)²
By taking AX=BX:
√(x-(-2)²+(0-5)²=√(2-x)²+(-3-0)²
√x²+4+4x+25=√4+x²-4x+9
By squaring on both side:
x²+4x+29=x²-4x+13
x²-x²+4x+4x+29-13=0
8x+16=0
x=-16/8=-2.
The point on x-axis is (-2,0).
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