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maths..plse helppppppp

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Please help me to find the separate equations of the line represented by following equations:
a) x^2+2(cosec a)xy-y^2=0
b) x^2+2xy. tan a-y^2=0

  • maths..plse helppppppp -

    These two equations do not represent a (single) line. They are two different curves. For certain values of a, they overlap.

  • maths..plse helppppppp -

    a) x^2-y^2 = 0
    represents the lines y = ±x

    Ax^2+Bxy+Cy^2=0 represents the same lines rotated through an angle θ such that

    cot2θ = C-A/2B

    so, we have cot2θ = 1/2 sin(a)

    similarly for (b)

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