MHT CET202012 Oct 2020Morning ShiftMathematicsCircleActual

If is a parameter, then the parametric equations of the circle x²+y²-6 x+4 y-3=0 are given by

Options

Ax=-3+4 and y=-2+4
Bx=3+4 and y=-2+4
Cx=3+4 and y=2+4
Dx=3+4 and y=2+4

Correct answer

B. x=3+4 and y=-2+4

Step-by-step solution

Given equation of circle is aligned & x²+y²-6 x+4 y-3=0 & (x²-6 x+9 )-9+ (y²+4 y+4 )-4-3=0 &(x-3)²+(y+2)²=16 aligned Comparing with, (x-h)²+(y-k)²=r² , we get h=3, k=-2, r=4 Parametric form is aligned x &=h+r & and & y &=k+r x &=3+4 & and & y &=-2+4 aligned

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