Questions
If the system of linear equations
Where are non-zero and distinct; has non-zero solution, then,
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a
1a,1b,1care in A.P.
b
a,b,c are in A.P
c
a, b, c are in G.P
d
a + b + c = 0
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Correct option is A
For non-zero solution22aa23bb24cc=0⇒12aa13bb14cc=0⇒3bc−4bc−2ac−4ac+2ab−3ab=0⇒−bc+2ac−ab=0⇒ab+bc=2ac⇒a,b,c are in H.P. ⇒1a,1b,1c are in A.P.Similar Questions
The number of matrices whose entries are either and for which the system has exactly two distinct solutions, is
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