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Mathematics 9 Online
OpenStudy (anonymous):

HELPPPPP!!!

OpenStudy (anonymous):

http://prntscr.com/1at53h

hartnn (hartnn):

WHAT U THINK ?

OpenStudy (anonymous):

i guess parabola , but its just a guess!

hartnn (hartnn):

circle doesn't have 2xy parabola either have x^2 or y^2 but not both...

hartnn (hartnn):

pair of lines through origin (y-mx)(y-mx) =0 you will get this in the required form....

hartnn (hartnn):

circle :x^2+y^2=r^2

hartnn (hartnn):

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/

hartnn (hartnn):

doubts?

OpenStudy (anonymous):

so you mean any straight line if when we multiply them both will give 0?

hartnn (hartnn):

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

hartnn (hartnn):

see the link also for better understanding...

OpenStudy (anonymous):

i am confused

OpenStudy (anonymous):

and from where the 'h' comes from?

hartnn (hartnn):

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......

OpenStudy (anonymous):

it gives y2-2mxy+mx2 it is giving a negative 2mxy whereas in the eq it is positive!

hartnn (hartnn):

that equation is general equation...like in ax^2+bx+c= 0, b can be anything,0,-4,6,...

OpenStudy (anonymous):

ok so it is a eq just for a pair of lines passing through the origin right?

hartnn (hartnn):

yes!

OpenStudy (anonymous):

one more question this eq is cannot be used for pair of lines that does not pass through origin right?

OpenStudy (anonymous):

@hartnn

hartnn (hartnn):

yeah, it cannot (ax+by+c)(ax+by+c) =0 has the form ax^2+2hxy+by^2+2gx+2fy+k=0

OpenStudy (anonymous):

oh god! this is too much too engulf! anyways thanks for the help :D i got it now :)

hartnn (hartnn):

welcome ^_^

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