Which of the following parametric representation correspond to points on the line x + y = 2?

(t, 2 - t)

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(-t, 2 - t)

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(t - 1, 3 - t)

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(-t, 2 + t)

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Solution

The correct options are
A
(t, 2 - t)

C
(t - 1, 3 - t)

D
(-t, 2 + t)

There can be more than one parametric representation of given curve. When we substitute it back in the equation of the curve, it should satisfy.

A, C, D satisfy the equation x + y = 2

There can be more parametric representations.

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