If the coordinates of a moving point P are (c | vedclass

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(B) Given the coordinates of point $P$ are $x = \cos 	heta + \sin 	heta$ and $y = \sin 	heta - \cos 	heta$.To find the locus,we eliminate the para

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$x^2 + y^2 = 2$

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(B) Given the coordinates of point $P$ are $x = \cos 	heta + \sin 	heta$ and $y = \sin 	heta - \cos 	heta$.To find the locus,we eliminate the parameter $	heta$ by squaring and adding the expressions for $x$ and $y$:$x^2 + y^2 = (\cos 	heta + \sin 	heta)^2 + (\sin 	heta - \cos 	heta)^2$Expanding the squares:$x^2 + y^2 = (\cos^2 	heta + \sin^2 	heta + 2 \sin 	heta \cos 	heta) + (\sin^2 	heta + \cos^2 	heta - 2 \sin 	heta \cos 	heta)$Using the identity $\sin^2 	heta + \cos^2 	heta = 1$:$x^2 + y^2 = (1 + 2 \sin 	heta \cos 	heta) + (1 - 2 \sin 	heta \cos 	heta)$Simplifying the expression:$x^2 + y^2 = 1 + 1 = 2$Thus,the locus of $P$ is $x^2 + y^2 = 2$.

If the coordinates of a moving point $P$ are $(\cos \theta + \sin \theta, \sin \theta - \cos \theta)$,where $\theta$ is a parameter,find the locus of $P$.

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