CAT 2003 Question Paper (Leaked) Question 58

Question 58

Which one of the following conditions must p, q and r satisfy so that the following system of linear simultaneous equations has at least one solution, such that p + q + r $$\neq$$ 0?

x+ 2y - 3z = p

2x + 6y - 11z = q

x - 2y + 7z = r


Substitute value of p,q,r in the options only option A satisfies .

5(x+2y-3z)-2(2x+6y-11z)-(x-2y+7z) = 5x+10y-15z-4x-12y+22z-x+2y-7z  = 0

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