Question

The value of k for which the pair of linear equations kx + Y is equal to K square and X + K Y is equal to one have infinitely many solutions is

Answer 1

Step-by-step explanation:

According to question

Equations given

kx + y = k^2

and

x + ky = 1

Since the equations have infinitely many solutions

Thus

comparing the coefficients of x and y

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

thus

k = +1 or -1

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