Question

distance b/w the point a(c,o) and b(o,c)​

Answer 1

The distance between a(c, 0) and b(0, c) is $c{\sqrt {2}}$

Step-by-step explanation:

Given:

Two points:

a (c, 0)

b (0, c)

We know that the distance formula to calculate the distance between two points $P(x_{1}, y_{1})\ and\ Q(x_{2}, y_{2})$on the coordinate axes is given by:

$d = \sqrt{(x_{1} - x_{2})^{2} + (y_{1} - y_{2})^{2}}$

Thus on comparing:

$x_{1} = c$

$y_{1} = 0$

$x_{2} = 0$

$y_{2} = c$

The distance between the points a(c, 0) and b(0, c):

$ab = \sqrt{(c - 0)^{2} + (0 - c)^{2}} = c\sqrt {2}$

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