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The number of values of K for which the system of equations  (K+2)x+10y=K,  Kx+(k+3)y=K1has no solution is

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a
Infinitely many
b
1
c
2
d
3

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detailed solution

Correct option is B

For no solution,K+2K=10K+3≠KK−1→(1)⇒K2-5K+6=0  ⇒K=2,  3 But for k=2equation (1) is not satisfied, Hence  k=3.


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The number of 3×3  matrices A  whose entries are either 0or1  and for which the system Axyz=100  has exactly two distinct solutions, is


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