Question

2) Find the separate equations of the lines represented by following equations


iv) 3x2 - 10xy - 8y2 = 0​

Answer 1

Step-by-step explanation:

The given equation in

3x

2

−10xy−8y

2

=0

⇒3x

2

−12xy+2xy−8y

2

=0

⇒3x(x−4y)+2y(x−4y)=0

⇒(x−4y)(3x−2y)=0

⇒x−4y=0

and 3x+2y=0

Hence, the separate equations of the lines represented by the equation

3x

2

−10xy−8y

2

=0 are x−4y=0 and 3x+2y=0.