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Question

x=41+cosθ and y=31+sinθ are the parametric equations of


A

x-329+y-4216=1

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B

x+4216+y+329=1

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C

x-4216-y-329=1

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D

x-4216+y-329=1

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Solution

The correct option is D

x-4216+y-329=1


Explanation for the correct option:

Step 1: Note the given data

x=41+cosθ..........1

y=31+sinθ..........2

A parametric function is a function with a one-dimensional input and a multidimensional output.

Step 2: Find the value of cosθ and sinθ

x=4+4cosθ

cosθ=x-44

And y=3+3sinθ

sinθ=y-33

We know the trigonometric relation cos2θ+sin2θ=1

Substituting the values of cosθ and sinθ

x-442+y-332=1

x-4162+y-392=1

Hence, the correct option is D.


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