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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

 
Answers (1)
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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)}

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 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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