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```        Q:-Let a point P(h,k) satisfies the equation x3+y3+3xy=1 , then the locus of point P is a
1.Straight line
2.Circle
3.Parabola
4.Hyperbola
7 years ago

147 Points
```										Dear Tapasranjan Das
x3+y3+3xy-1=0
(x+y)3 -3xy(x+y) +3xy -1 =0
(x+y)3 -13 -3xy(x+y-1) =0
(x+y-1)[(x+y)2 +1 +(x+y)] --3xy(x+y-1)  =0
(x+y-1) [(x+y)2 +1 +(x+y) -3xy]=0
(x+y-1)  [x2+y2 +1 +x+y -xy]=0
x+y -1 =0 rpresent a straight line
and for x2+y2 +1 +x+y -xy]=0  check value of  Δ
Δ will also come zero so it represent a pair of straight line
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7 years ago
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