Posted by **ragini** on Friday, December 7, 2012 at 3:03am.

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 -
**drwls**, Friday, December 7, 2012 at 3:32am
These two equations do not represent a (single) line. They are two different curves. For certain values of a, they overlap.

- maths..plse helppppppp -
**Steve**, Friday, December 7, 2012 at 10:56am
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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