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Question

If the system of equations of 3x2y+z=0,kx14y+15z=0,x+2y+3z=0 has non trivial solution then k=

A
29
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B
26
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C
23
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D
19
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Solution

The correct option is A 29
According to the given information

∣ ∣321k1415123∣ ∣=0

3(4230)+2(3k15)+1(2k+14)=0

216+6k30+2k+14=0

8k=232

k=29

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