Maths / Coordinate Geometry / Distance Formula

QUESTION
 

Distance between point (a,b) and(-a,-b) is

OPTIONS
A. 

large sqrt {2a^{2}+2b^{2}}

B. 

large 2sqrt {a^{2}-b^{2}}

C. 

large 2sqrt {a^{2}+b^{2}}

D. 

large 4sqrt {a^{2}+b^{2}}

Right Option : C

EXPLANATION
Explain TypeExplanation Content
Text

Distance between point (a,b) and(-a,-b) is

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

            large =sqrt{(a+a))^2+(b+b)^2}

           large =sqrt{(2a))^2+(2b)^2}

          large =sqrt{4a^2+4b^2}

          large =2sqrt{a^2+b^2}

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