Maths / Coordinate Geometry / Distance Formula

QUESTION

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

 OPTIONS A. $\large \sqrt {2a^{2}+2b^{2}}$ B. $\large 2\sqrt {a^{2}-b^{2}}$ C. $\large 2\sqrt {a^{2}+b^{2}}$ D. $\large 4\sqrt {a^{2}+b^{2}}$
Right Option : C

EXPLANATION
Explain TypeExplanation Content
Text

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

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

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

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

$\large =\sqrt{4a^2+4b^2}$

$\large =2\sqrt{a^2+b^2}$

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