Question

5. The condition for 3x² + 2pxy + 2y2 + 2ax - 4y + 1 can be resolved into two linear factors then k is​

Answer 1

Answer:-

For the condition to be true , the roots of the equation must be rational.

⟹−2αy+2a±D/ √2 must give rational roots.

For the above expression to give rational roots, D must be a perfect square of a rational number.

⟹4(α2−2)y2+(2aα+4)y+a2−1 should be a perfect square.

⟹ The discriminant of above expression =0. By doing that, we get our required result.

____________________________________________