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For which value(s) of lambda do the pair...

For which value(s) of `lambda` do the pair of linear equations `lambdax+y=lambda^(2)" and "x+lambday=1` have
i] No solution? `" "`ii] Inifinitely many solutions?
iii] A unique solution?

Text Solution

Verified by Experts

The correct Answer is:
(i) `lambda=-1`, the pair of equations has no solutions.
(ii) The pair of linear equation has infinitely many solutions is `lambda=1` only
(iii) The unique solution if for all real values except `lambda=1, -1`
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