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for which value of k will the pair of equations kx+ 3y= k- 3 and 12x+ ky = k have no solution? for which value of k will the pair of equations kx+ 3y= k- 3 and 12x+ ky = k have no solution?
we have kx + 3y - k-3 = 012x + ky - k = 0For given equations to have no solutiona1/a2 = b1/b2 is not equal to c1/c2k/12 = 3/kk^2 = 36k = 6 or k = -6On putting value of k in the given equationwe get a1/a2 = b1/b2 is not equal to c1/c2hence the given equation will have no solution both for k=6 & k = -6
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