2.
Find the value of k for which the following system of linear equation becomes infinitely many solution or
represent the coincident lines,
(i) 6x + 3y =k-3
(ii)2k x + y = 6
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let the eqns be
a1x+b1 y+c1=0 = 6x+3y-(k-3)=0
a2x+b2y+c2=0 = 2kx + y-6=0
for infinite solutions condition is
a1/a2 =b1/be =c1/c2
6/2k=(k-3)/6
3/1=(k-3)/6
3×6=k-3
k=21Ans
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