Question

Find all of the points of the form (x, −x) which are 7 units from the origin.

(x, y) =

(smaller x-value)

(x, y) =

(larger x-value)

Answer 1

The coordinate points of smaller and larger x -value from the origin is (-7, 0 ) and (7, 0) respectively.

The given point which is 7 unit from the origin, is equivalent to the radius of a circular curve.

The general equation is written as follows;

$x^2 + y^2 = 7^2$

The corresponding positive and negative values of x are obtained when y = 0

$x^2 + 0 = 7^2\\\\x^2 = 49 \\\\x = +/- \ \ \sqrt{49} \\\\x = +/- \ 7$

The coordinate of smaller x -value becomes;

(x, y) = (-7, 0)

The coordinate of larger x-value becomes;

(x, y) = (7, 0)

Thus, the coordinate points of smaller and larger x -value from the origin is (-7, 0 ) and (7, 0) respectively.

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