HELPPPPP!!!
WHAT U THINK ?
i guess parabola , but its just a guess!
circle doesn't have 2xy parabola either have x^2 or y^2 but not both...
pair of lines through origin (y-mx)(y-mx) =0 you will get this in the required form....
circle :x^2+y^2=r^2
pair of lines through origin : ax^2+2hxy+y^2=0 http://www.cuemath.com/2012/sl016-straight-lines-introduction-to-pair-of-straight-lines/
doubts?
so you mean any straight line if when we multiply them both will give 0?
no no... equation of "pair" of lines, we get by multiplying individual equations ... L1 : y=mx ----> y-mx=0 L2: y=mx ----->y-mx=0 pair L1L2 : (y-mx)(y-mx)=0 now this is in the form of ax^2+2hxy+by^2=0
see the link also for better understanding...
i am confused
and from where the 'h' comes from?
its just that form...one term with x^2, one term with y^2 and one term with xy (y-mx)(y-mx)=0 <----multiply and see by yourself......
it gives y2-2mxy+mx2 it is giving a negative 2mxy whereas in the eq it is positive!
that equation is general equation...like in ax^2+bx+c= 0, b can be anything,0,-4,6,...
ok so it is a eq just for a pair of lines passing through the origin right?
yes!
one more question this eq is cannot be used for pair of lines that does not pass through origin right?
@hartnn
yeah, it cannot (ax+by+c)(ax+by+c) =0 has the form ax^2+2hxy+by^2+2gx+2fy+k=0
oh god! this is too much too engulf! anyways thanks for the help :D i got it now :)
welcome ^_^
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