JEE MATHEMATICS MCQ: TRANSFORMATION OF AXES

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Application +4 | -1

The cartesian form of the equation

r^{1 / 2}=a^{1 / 2} \cos \frac{\theta}{2}

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Correct option: A

\left(2 x^2+2 y^2-a x\right)^2=a^2\left(x^2+y^2\right)

Option A ((

2x^2+2y^2-ax)^2=a^2(x^2+y^2)

) is correct because it is the cartesian form derived from the given polar equation through trigonometric identities and coordinate transformations.

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