1.

For what value of k does the system of equations `" " kx + 2y = 5, 3x - 4y = 10 ` have (i) a unique solution, (ii)no solution ?

Answer» Correct Answer - (i)` k ne (-3)/(2)` (ii) ` k = (-3)/(2)`
(i) ` (k)/(3) ne ( 2)/(-4) rArr (k ) /(3) ne (-1)/(2) rArr k ne (-3)/(2)`
(ii) `(k)/(3) = ( 2)/(-4) ne (5)/(10) rArr (k)/(3) = (-1)/(2) and (k)/(3) ne 1/2 rArr k = (-3)/2`


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