Suppose a , b denote the distinct real roots of the quadrtic polynomial `x^(2)+20x-2020` and suppose c,d denote the distinct complex roots of the quadratic polynomial `x^(2)-20x+2020` , then the value of `ac(a-c)+ad(a-d) bc(b-c)bd(b-d)` is

Let a,b,c,d be distinct real numbers and a and b are the roots of the quadratic equation x^(2)-2cx-5d=0. If c and d are the roots of the quadratic equation x^(2)-2ax-5b=0 then find the numerical value of a+b+c+d

If a,b are roots of the equation x^(2)+qx+1=0 and c, dare roots of x^(2)+px+1=0, then the value of (a-c)(b-c)(a+d)(b+d) will be

If a and b are two distinct real roots of the polynomial f(x) such that a

If both the distinct roots of the equation |sin x|^(2)+|sin x|+b=0 in [0,pi] are real, then the values of b are [-2,0](b)(-2,0)[-2,0] (d) none of these

It roots of equation 2x^(2)+bx+c=0:b,c varepsilon R are real & distinct then the roots of equation 2cx^(2)+(b-4c)x+2c-b+1=0 are

Suppose a, b, c are real numbers, and each of the equations x^(2)+2ax+b^(2)=0 and x^(2)+2bx+c^(2)=0 has two distinct real roots. Then the equation x^(2)+2cx+a^(2)=0 has - (A) Two distinct positive real roots (B) Two equal roots (C) One positive and one negative root (D) No real roots