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For which value (s) of lambda, do the pa...

For which value (s) of `lambda`, do the pair of linear equations `lambdax + y = lambda^(2)` and `x + lambda y = 1 ` have
(i) no solution ? (ii) infinitely many solutions ?
(iii) a unique solution ?

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AI Generated Solution

To solve the problem, we need to analyze the given pair of linear equations: 1. \( \lambda x + y = \lambda^2 \) (Equation 1) 2. \( x + \lambda y = 1 \) (Equation 2) We will determine the values of \( \lambda \) for three scenarios: no solution, infinitely many solutions, and a unique solution. ### Step 1: Identify coefficients ...
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