If 9^x-4(3^x+2)+3^5 = 0, then solution pair is
(A) (1, 2)
(B) (2,3)
(C) (2, 4)
(D) (1,3)
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MATHS
An ordered pair (α,β) for which the system of linear equations
(1+α)x+βy+z=2
αx+(1+β)y+z=3
αx+βy+2z=2 has a unique solution is
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ANSWER
For unique solution
Δ
=0⇒
∣
∣
∣
∣
∣
∣
∣
∣
1+α
α
α
β
1+β
β
1
1
2
∣
∣
∣
∣
∣
∣
∣
∣
=0
∣
∣
∣
∣
∣
∣
∣
∣
1
0
α
−1
1
β
0
−1
2
∣
∣
∣
∣
∣
∣
∣
∣
=0⇒α+β
=−2
For Option C
α+β=2+4=6 which is
=−2
An ordered pair (2,4) for which the system of linear equations has a unique solution.
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