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Does x^(2)+y^(2)=0 represent a pair of s...

Does `x^(2)+y^(2)=0` represent a pair of straight lines

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The correct Answer is:
no
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Explore conceptually related problems

Let ax^(2)+2hxy+by^(2)=0 represent a pair of straight lines. Then show that the equation of the pair of straight lines. Passing through (x_(0),y_(0)) and parallel to the given pair of lines is a(x-x_(0))^(2)+2h(x-x_(0))(y-y_(0))+b(y-y_(0))^(2)=0

If x^(2)+xy-2y^(2)+4x-y+k=0 represents a pair of straight lines, find k.

Knowledge Check

  • The equation of lines 2x^(2)+3xy-2y^(2)+3x-9y-9=0 represents a pair of straight lines, the distance of the point of intersection from the origin, is

    A
    `(3)/(5)`
    B
    `(9)/(5)`
    C
    `(3sqrt(10))/(5)`
    D
    `(18)/(5)`

  • The condition that the equation ax^2+by^2+c(x+y)=0 to represents a pair of straight lines is

    A
    a+b=0 or c=0
    B
    `a+b=0 or c=0, ablt0`
    C
    `ab gt 0, c=0`
    D
    `a+bne0, cne0`

    • Similar Questions

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    Does the equation x^(2)+xy+y^(2)=0 represent a pair of lines?

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