Question

A is a point on y axis whose ordinate is 5 and B is the point (-3,1).Compute the length of AB

Answer 1

Answer:

Distance between A and B is 5 units.

Step-by-step explanation:

Given that-

A is a point on Y-axis then x = 0

So, coordinate of A = (0, 5)

Coordinate of B = (-3, 1)

Distance between A and B = ?

We know that-

The distance between X(a, b) and Y(c, d) is-

$XY = \sqrt{(a-c)^{2}+(b-d)^{2}  }$

So, distance between A and B is-

$AB = \sqrt{(0+3)^{2}+(5-1)^{2}  }$

     $= \sqrt{3^{2}+4^{2}  }$

     $= \sqrt{9+16}$

     $= \sqrt{25}$

AB = 5 units

Hence, distance between A and B is 5 units.