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If a and B Are the Points (−6, 7) and (−1, −5) Respectively, Then the Distance 2ab is Equal to - Mathematics

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ConceptDistance Formula

Question

If A and B are the points (−6, 7) and (−1, −5) respectively, then the distance

2AB is equal to

  • A. 13

  • B. 26

  • C. 169

  • D. 238

Solution

The given points are A (−6, 7) and B (−1, −5).

`therefore AB=sqrt((-6-(-1))^2+(7-(-5))2)`

`=sqrt((-6+1)^2+(7+5)^2)`

`=sqrt((-5)^2+(12)^2)`

`=sqrt(25+144)`

`=sqrt169`

`=13`

`therefore 2AB=2xx13=26`

Thus, the distance 2AB is 26 units.

The correct answer is B.

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Solution If a and B Are the Points (−6, 7) and (−1, −5) Respectively, Then the Distance 2ab is Equal to Concept: Distance Formula.
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