If the each of algebraic expressions `lx^(2) + mx + n, mx^(2) + nx + l and nx^(2) + lx + m` are prefect squares, then `(l +m)/(n) =` _____

Factorise the expressions : lx^2 + mx .

If the lines lx + my + n = 0, mx + ny + l = 0 and nx + ly + m = 0 are concurrent then

Show that the lines lx + my + n = 0 , mx + ny + l = 0 and nx + ly + m = 0 are concurrent, if l + m + n = 0.

Express the equation lx^(2)+mx+n=0 in a perfect square form.

If the roots of the equation lx^(2) +mx +m=0 are in the ratio p:q, then

The area (in square units ) of the quadrilateral formed by two pairs of lines l^(2) x^(2) - m^(2) y^(2) - n (lx + my) = 0 and l^(2) x^(2)- m^(2) y^(2) + n (lx - my ) = 0 , is

The area (in square units ) of the quadrilateral formed by two pairs of lines l^(2) x^(2) - m^(2) y^(2) - n (lx + my) = 0 and l^(2) x^(2)- m^(2) y^(2) + n (lx - my ) = 0 , is

The area (in square units ) of the quadrilateral formed by two pairs of lines l^(2) x^(2) - m^(2) y^(2) - n (lx + my) = 0 and l^(2) x^(2)- m^(2) y^(2) + n (lx - my ) = 0 , is

If x is nearly equal to 1, the (mx^(m)-nx^(n))/(m-n)=