determine the value of u so that the following pair of linear equation have no solution (3u+1)x+3y-2=0 , ( u^2 + 1 )x +(u-2)y -5=0
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Let Ax+By+C= (3u+1)x +3y -2 =0
Let Px+Qy+R= (u²+1)x +(u-2)y -5=0
Equation have no solution so,
A/P=B/Q
(3u+1)/(u²+1) = 3/(u-2)
(3u+1)*(u-2)=3u²+3
3u²-6u+u-2=3u²+3
-5u-2=3
-5u=5
u= -1
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