1.

Find the distance between the following pairs of points (a,b)and(-a,-b)​

Answer»

Let A (a,B) = ( x1 ,Y1) and B ( x2,y2) be the points of a straight line

AB =

\sqrt{(x2 - x1} ) {}^{2} +( y2 - y1) {}^{2}

AB =

\sqrt{ (- a - a) {}^{2} } + ( - b - b) {}^{2}

= \sqrt{( -2 a) {}^{2} } + ( - 2b) {}^{2}

= \sqrt{4a {}^{2} } + 4b {}^{2} = 2 \sqrt{a } { }^{2} + b {}^{2} units

ANSWER =

2 \sqrt{a} {}^{2} + b {}^{2} units


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