If the distance between the points $(3,-5)$ and $(x,-5)$ is 15 units, then the values of $x$ are :\

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Professor PC Thomas Classes · Answer

(b) : The distance between the points say $A(3,-5)$ and $B(x,-5)$ is 15 units.\ $\Rightarrow A B=15$\ $\Rightarrow \sqrt{(3-x)^{2}+(-5+5)^{2}}=15 \Rightarrow \sqrt{(3-x)^{2}}=15$\ $\Rightarrow(3-x)= \pm 15 \Rightarrow 3-x=15$ or $3-x=-15$\ $\Rightarrow \quad x=-12$ or $x=18$