Question

find the value of k, if the slope of one of the line represented by 4x^2+kxy+y^2=0​

Answer 1

Step-by-step explanation:

The two lines are of form y=mx and y=4mx

∴ combined equation is ⇒

(4mx−y)(mx−y)=0

⇒4m

2

x

2

+y

2

−5mxy=0 ______ (1)

compare equation (1) with 4x

2

+kxy+y

2

4m

2

=4 and K=−5m

∴m=±1⇒K=