Question

35. The distance between the points A (5,- 8) and B (-2, 3) is

(1) √170 (2) √34 (3) 18 (4) √10​

Answer 1

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Answer 2

Given that:

point A is (5,-8) & point B is (-2,3)

To find:

Distance between the two points A and B

Solution:

The distance between the points A (5,- 8) and B (-2, 3) can be derived using the simple formula of geometry.

As per the rules of geometry, we have

• Let co-ordinates of point A be (X1,X2)

=A(5,-8)

here, X1= 5 and Y1= -8

• let co-ordinates of point B be (Y1, Y2)

=B(-2,3)

here, X2=-2 and Y2=3

The formula of finding distance between two points of co-ordinates is:

• Distance of AB=

√((X2 - X1)^2 + (Y2 - Y1)^2)

Therefore, by putting the values of both the co-ordinates in two points A and B,

we will get,

=√((-2 - 5)^2 + (3- -8)^2)

=> √((-7)^2 + (11)^2)

=>√(49 + 121)

=>√170

So, the after applying the values of the co-ordinates in distance formula to both the points, we get the value √170.

Therefore, the distance between the points A (5,- 8) and B (-2, 3) is √170, and the correct option is OPTION (1).