Question

For what value of k will the equations4x +5y = 12 and kx +10y = 48 represent intersecting lines

Answer 1

Answer:

For intersecting lines,

a₁/a₂≠b₁/b₂

4x +5y = 12 (1)

kx +10y = 48 (2)

a₁/a₂=4/k

b₁/b₂=5/10=1/2

Now,

a₁/a₂≠b₁/b₂

⇒4/k≠1/2

⇒k≠8

k can be any no. except 8