If the equations \( 4 x^{2}-x-1=0 \) and \( 3 x^{2}+(\lambda+\mu) x+\lambda-\mu \) \( =0 \) have...
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If the equations \( 4 x^{2}-x-1=0 \) and \( 3 x^{2}+(\lambda+\mu) x+\lambda-\mu \) \( =0 \) have a root common, then the rational values of \( \lambda \) and \( \mu \) are
(1) \( \lambda=\frac{-3}{4} \)
(2) \( \lambda=0 \)
(3) \( \mu=\frac{3}{4} \)
(4) \( \mu=0 \)
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