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Questions  

If α+β+γ=0, the line 3αx+βy+2γ=0 passes through the fixed point

a
2,23
b
23,2
c
-2,23
d
None of these

detailed solution

Correct option is B

The given line is  3αx+βy+2γ=0⇒3αx+βy+2-α-β=0∵α+β+γ=0⇒α3x-2+βy-2=0⇒the given line passes through the point of intersection of the lines 3x – 2 = 0 and y – 2 = 0 i.e.,23,2 for all values of α and β.

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