Question

m) Find the value of k if lines represented by kx2 + 4xy – 4y2 = 0 are perpendicular
to each other.​

Answer 1

Answer:

k=4

Step-by-step explanation:

Comparing the equation kx

2 +4xy−4y

2 =0 with ax

2 +2hxy+by

2 =0,

we get, a=k,2h=4 and b=−4

Since line represented by kx

2 +4xy−4y

2 =0 are perpendicular to each other,

a+b=0

∴k−4=0

∴k=4