Answers

2014-06-02T14:54:09+05:30
Distance between point (4,1) & (-10,6) is
= √{(4 + 10)² + (1 - 6)²}
 = √(14² + 5²)
 = √221
distance between point (4,1) & (9,-13) is 
= √{(4-9)² + (1+13)²}
 = √(5²+14²)
= √221
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2014-06-02T15:20:54+05:30
We can find it by using the distance formula.
let us consider   A=(-10,6)   ; B=(9,-13)  ; C=(4,1)
we can say C is equidistant from A and B if AC=BC
AC=√(4+10)²+(1-6)² = √(14)²+(-5)² = √196+25 = √221
BC=√(4-9)²+(1+13)²=√25+196=√221
Since  AC = BC we can say C is equidistant from A and B
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