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The value of k for which equation 3x+5y=0 and Kx+10y =0 has a non zero solution is ? |
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Answer» Step-by-step explanation: The given system is 3x +5y 0 -() kx+10y = 0 This is a homogeneous system of linear differential equation, so it always has a ZERO solution i.e., x = y = 0. But to have a non-zero solution, it must have infinitely many solutions. For this, we have b2 a2 » k= 6 Hence, k = 6. |
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