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#1 Posted 8:29pm 04-11-09 14-10-09 Pair of straight lines bisect the angles from SL LoneyProve that one of the lines represented by ax[p]3[/p]+bx[p]2[/p]y+cxy[p]2[/p]+dy[p]3[/p]=0 will bisect the angles between the other two if (3a+c)[p]2[/p](bc+2cd-3ad)=(b+3d)[p]2[/p](bc+2ab-3ad) Source: SL Loney
-when spring comes, it melts the snow one flake at a time… |
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#2 Posted 10:00am 06-11-09 Re: 14-10-09 Pair of straight lines bisect the angles from SL LoneyNo one yet!
-when spring comes, it melts the snow one flake at a time… |
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#3 Posted 00:31am 21-02-10 Trial 1We divide te above equation by x[p]3[/p]..... We get, a+bm+cm[p]2[/p]+dm[p]3[/p]=0(as y=mx) Using theory of sum and product of roots, m[ss]1[/ss]+m[ss]2[/ss]+m[ss]3[/ss]=-b/a--------- and m[ss]1[/ss]*m[ss]2[/ss]*m[ss]3[/ss]=-k/a------- We get relation between slopes.
zxcvb |
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#4 Posted 00:33am 21-02-10 Re: 14-10-09 Pair of straight lines bisect the angles from SL Loneysir still u need the full proof? by the way this is quite a standard one in many state board textbooks, isnt it ? |
