Find the value of

MATHEMATICS · Subjective · CBSE · Mathematics · Determinants · Determinants

Problem

Find the value of λ\lambda , if the following equations are consistent x+y−3=0(1+λ)x+(2+λ)y−8=0x−(1+λ)y+(2+λ)=0\begin{aligned} x + y - 3 &= 0 \\ (1+\lambda)x + (2+\lambda)y - 8 &= 0 \\ x - (1+\lambda)y + (2+\lambda) &= 0 \end{aligned}

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