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Question

The equation of a line passing through (2,3) and parallel to the tangent at origin for circle x2+y2+xy=0 is:

A
xy1=0
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B
xy+3=0
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C
xy+5=0
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D
xy5=0
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Solution

The correct option is C xy+5=0

x2+y2+xy=0
2x+2ydydx+1dydx=0
(2y1)dydx=(2x+1)(dydx)0,0=1
Required Line slope = 1, point = (-2, 3)
Equation of Line is
y3=x+2xy+5=0


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