Complex Numbers...

If the sum of the roots of the equation ax² + bx + c = 0 is equal to sum of the squares of their reciprocals, then bc² , ca² , ab² are in

If k >0 and the product of the roots of the equation x² - 3kx + 2e^2logk -1 = 0 is 7 then the sum of the roots is

The number of real solution of the equation (9/10)^x = -3 + x - x² is  

If the roots of (x - a)(x - b) +(x - b)(x - c) + (x - c)(x - a) = 0 are equal then which of the following is not possible

The equation log₂ (3- x) + log₂  (1- x) = 3 has

If ax² + bx + c = 0 and bx² + cx + a = 0 have a common a ≠0  

If a, b are the roots of x² + px + 1 = 0, and c, d are the roots of x² + qx + 1 = 0, then the value of E = (a - c)(b - c)(a+ d)(b+ d) is   

If x² + 2ax +10 - 3a >0 for each x ∈R, then  

If a, b, c are real and a ≠b, then the roots of the equation 2(a - b)x² -11(a + b + c)x - 3(a - b) = 0 are  

The minimum value of