#### 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.

Is there an error in this question or solution?

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