Math, asked by Anonymous, 1 year ago

What curves are represented by the equation x2+2xy +(1+\)y2+2\y-1=0 for different values of \ (lamda) ? solve with cases

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Answered by Anonymous
3

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Answered by Anonymous
1

After comparing this with genral equn

Then determinant=-/(1+/)

Or ab-h2=/(lamda)

Case1

Represents ellipse />0

Case2

Represents hyperbola /<0

Case3

/=-1

represents a pair of intersecting lines

Case4

/=0

Represents a pair of parallel lines

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