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Second degree homogeneous equation in x ...

Second degree homogeneous equation in x and y always represents

A

a circle

B

a parabola

C

an ellipse

D

a pair of straight lines

Text Solution

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The correct Answer is:
D
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Knowledge Check

  • The equation xy+a^2=a(x+y) represents

    A
    a two perpendicualr lines
    B
    a pair of straight lines
    C
    two parallel straight lines
    D
    None of the above

  • The second degree equation x^(2) + 4y - 2x -4y + 2= 0 represents

    A
    A point
    B
    An ellipse of semi-major axis 1
    C
    An ellipse with eccentricity `(sqrt3)/(2)`
    D
    None of the above

  • A graph of linear equation always represents a :

    A
    straight line
    B
    parabola
    C
    circle
    D
    None of these

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