The parametric representation of the circle (x-3)^2+(y+4)^2=25 is - Vidyadip

MCQ

The parametric representation of the circle $(x-3)^2+(y+4)^2=25$ is

A
$x=5+3 \cos \theta, y=5-3 \sin \theta$
B
$x=5+3 \cos \theta, y=5+3 \sin \theta$
✓
$x=3+5 \cos \theta, y=-4+5 \sin \theta$
D
$x=3+5 \cos \theta, y=-3+5 \sin \theta$

✓

Answer

Correct option: C.

$x=3+5 \cos \theta, y=-4+5 \sin \theta$

(C)
$(x-3)^2+(y+4)^2=5^2$
Comparing with $(x- h )^2+(y- k )^2= r ^2$, we get
$h=3, k=-4, r=5$
$\therefore $ Parametric equations are $x=3+5 \cos \theta, y=-4+5 \sin \theta$

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