Question

Camlin Page
Date
1
Show
the line represented by equation x²-
2xy-3y²=0
are distinct.​

Answer 1

Answer:

The Line x²-  2xy - 3y² = 0 is quadratic in nature thus, we can find the two equations by solving the equation.

⇒x²-  2xy - 3y² = 0

⇒x² + xy - 3xy - 3y² = 0

⇒x(x + y) -3y(x + y) = 0

⇒(x - 3y)(x + y) = 0

∴ the two equations are x - 3y; x + y

for the two equations to have distinct roots a₁/a₂ ≠ b₁/b₂

⇒1/1 ≠ -3/1

∴ The Lines Represented by the equation are distinct.

Answer 2

Answer:

The Given Equation x2-2xy-3y2=0 x2-xy-3xy-3y2=0

x-(x-y) -3(x-y)=0

we get two equation

(x-3) (x-y)

The distinct root

a1/a2 =not b1/b2

1/1=not -3/1