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Question

The curve represented by x=3(cost+sint) and y=4(cost−sint) is

A
an ellipse
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B
a parabola
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C
a hyperbola
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D
a circle
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Solution

The correct option is A an ellipse
Given x=3(cott+sint),y=4(costsint)
From the given relation, we have (x3)2+(y4)2=(cost+sint)2+(costsint)2

x29+y216=2

x218+y232=1
which is an ellipse.

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