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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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