Q

# Give answer! Which of the following doesnt represent a parametric form of equation of curve ?

Which of the following doesnt represent a parametric form of equation of curve ?

• Option 1)

$x = \sin t, y = \cos t$

• Option 2)

$x =at^2, y = 2at$

• Option 3)

$x = \sin^{2}y$

• Option 4)

$x = \theta + \cos\theta, y= \theta - \sin\theta$

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As we have learned

Parametric Form -

If the equations of the curve  y = f(x) are represented in the form of a parameter t. such that

$x=f_{x}(t)\:\:and\:\:y=f_{y(t)}$

-

In (A),(B) and  (D) , x and y both are represented in terms of a parameter , while in (C) x and y has direct relation between them

Option 1)

$x = \sin t, y = \cos t$

Option 2)

$x =at^2, y = 2at$

Option 3)

$x = \sin^{2}y$

Option 4)

$x = \theta + \cos\theta, y= \theta - \sin\theta$

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