find the points on X-axis which is equidistant from P(2,-5) and Q(-2,9).
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Answer:
(-7,0)
Step-by-step explanation:
since point is one x axis so it's y coordinate must be zero. let the point be (x,0)
given its equidistant to (2,-5) and (-2,9)
therefore
√(2-x)²+(-5-0))²=√(-2-x)²+(9-0)²
x²+4-4x+25=4+x²+4x+81
-8x+25=81
-8x=81-25
-8x=56
x=-7
hence the point is (-7,0)
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