" ii) "4x^(2)+5xy+4y^(2)=0

Factorise : x^(2) + 5xy + 4y^(2)

Evaluate : 3x^(2) + 5xy - 4y^(2) + x^(2) - 8xy - 5y^(2)

Show that the pair of lines 3x^(2)-5xy+2y^(3)=0 9x^(2)-25xy+4y^(2)=0 are equally inclined to each other.

The acute angle theta between the lines represented by 4x^(2)+5xy+y^(2)=0 is

Given pair of lines 2x^(2) +5xy +2y^(2) +4x +5y +a = 0 and the line L: bx +y +5 = 0 . Then

Given pair of lines 2x^(2) +5xy +2y^(2) +4x +5y +a = 0 and the line L: bx +y +5 = 0 . Then

Find the separate equations of the lines represented by : (1) 3x^(2) -7xy + 4y^(2) = 0 (2) 6x^(2) - 5xy - 6y^(2) = 0 (3) 2x^(2) + 2xy - y^(2) = 0 (4) x^(2) - y^(2) + x + y = 0.

Add: 4x^(2) - 7xy + 4y^(2) - 3, 5 + 6y^(2) - 8xy + x^(2) and 6 - 2xy + 2x^(2) - 5y^(2)