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`        Locus of all pointsĀ  P(x,y) satisfyingĀ  x3Ā + y3Ā +3xy =1 consist of union of.....Ā 1) a line and an isolated point2)a line and an isolated point3) a line and a circleĀ 4) a circle and an isolated point...Ā ......with proper solutions....Ā `
one year ago

2014 Points
```							The equation is x^3+y^3+(-1)^3-3xy(-1)=0(x+y-1)((x-y)^2+(y+1)^2+(x+1)^2)/2=0So x+y-1=0 is obviously a lineAnd the rest of the term will be zero only when x-y=0, y+1=0 and x+1=0 or at the point (-1,-1), which is itself an isolated point.So option 2 is correct
```
one year ago
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### Course Features

• 101 Video Lectures
• Revision Notes
• Test paper with Video Solution
• Mind Map
• Study Planner
• NCERT Solutions
• Discussion Forum
• Previous Year Exam Questions