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For which values of k does the pair of equation given below has no solution 2x-ky-3=03x+2y-1=0

Answer» The pair of eqn does not have any solution if{tex}\\begin{array}{l}\\frac{a1}{a2}=\\frac{b1}{b2}\\neq\\frac{c1}{c2}\\\\\\mathrm{Putting}\\;\\mathrm{all}\\;\\mathrm{values}\\;\\mathrm{we}\\;\\mathrm{get}\\\\\\frac23=\\frac{-\\mathrm k}2\\neq\\frac{-3}{-1}\\\\\\;\\mathrm{or}\\;-3\\mathrm k=4\\\\\\mathrm k=-\\frac43\\\\\\\\\\end{array}{/tex}
The question says no solution,so. a1/a2 =b1/b2#c1/c22/3=K/2#3/1K/2#3/1K=6


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