1.

Find the value(s) of k for which the pair of linear equations kx + y = k2 and x + ky-1 have infinitelymany solutions.,

Answer»

According to question

Equations given

kx + y = k^2andx + ky = 1

Since the equations have infinitely many solutionsThuscomparing the coefficients of x and y

k/1 = 1/k = 2k/1

thusk = +1 or -1k = +1/ root2 or -1/ root2



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