GyanCentral - The hub for engineering and law students - IIT-JEE, AIEEE, BITSAT, CLAT, AILET - 2012: Method to prove 3 lines to be concurrent Oct 15th 2012, 08:52 GyanCentral - The hub for engineering and law students - IIT-JEE, AIEEE, BITSAT, CLAT, AILET - 2012 | The source for all engineering and legal education news in India | | Method to prove 3 lines to be concurrent Oct 15th 2012, 08:02 Method 1 : Find the point of intersection of any two lines and show that it satisfies the third also. Method 2 : If P=0,Q=0,and R=0 be the eqn of the given lines and if lP+mQ+nR=0 takes the form, 0x+0y+0=0 where l,m and n are any 3 constants to be found by inspection,then the 3 lines are concurrent Method 3 : If the lines ax+by+c=0, dx+ey+f=0 and gx+hy+i=0,then, the matrix a b c d e f =0 g h i | | | | |
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