If the system of equations x+ky+3z=0,kx+2y+2z=0,2x+3y+4z=0admits of non-trivial solution, then sum of values of'k'

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answer is 3.25.

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Detailed Solution

The system has a non-trivial solution ⇒Δ=0⇒1k3k22234=0⇒1(8-6)-k(4k-4)+3(3k-4)=0⇒4k2-13k+10=0⇒k=2,5/4∴ Sum of values of K=2+54=134=3.25

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