If (m_r , (1/m_r )) ; r = 1, 2, 3, 4 be four pairs
of values of x and y satisfy the equation
x^2 + y^2 + 2gx + 2fy + c = 0, then prove
that m_1 .m_2 .m_3 .m_4 = 1.
Determine a relation between the
coefficients a, b, c, d such that the
equation: ax^3 +bx^2 +cx+d=0
has three real roots (with a pair
of double roots).