Question

Prove that the point ( x,√1-x^2)is at the distance of 1 unit from the origin

Answer 1

The distance between $(x,\sqrt{1-x^2})$ and origin 1 unit.

Step-by-step explanation:

We need to prove that the point is at the distance of 1 unit from the origin

.

Distance formula:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Using distance formula, the distance between origin and $(x,\sqrt{1-x^2})$ is

$d=\sqrt{(x-0)^2+(\sqrt{1-x^2}-0)^2}$

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

$d=\sqrt{x^2+1-x^2}$

$d=\sqrt{1}$

$d=1$

Therefore, the distance between $(x,\sqrt{1-x^2})$ and origin 1 unit.

#Learn more

The distance between the point (4,3) and the origin is ​

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Answer 2

Step-by-step explanation:

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