Question

If A and B are the points (-6,7)and (-1,-5) respectively then the distance 2AB is equal to

Answer 1

Answer:√29 units

Distance 2AB=2√29 units

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Answer 2

Co-ordinates of A=(-6,7)

Co-ordinates of B=(-1,-5)

According to the distance-formula,

$AB = \sqrt{( x_{1} - x _{2})^{2} + {(y _{1} - y_{2})}^{2} }$

$= \sqrt{( - 6 - ( - 1))^{2} + (7 - ( - 5)) ^{2} }$

$= \sqrt{( - 5)^{2} + (12)^{2} }$

$= \sqrt{( - 6 + 1)^{2} + (7 + 5) ^{2} }$

$= \sqrt{25 + 144}$

$= \sqrt{169} = 13$

Therefore,
2AB= 13×2= 26 units.

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