Equation `(x+2)(x+3)(x+8)(x+12)=4x^2` has (A) four real and distinct roots (B) two irrational roots (C) two integer roots (D) two imaginary roots

Equation (x)2)(x+3)(x+8)(x+12)=4x^(2) has four real and distinct roots two irrational roots two integer roots two imaginary roots

Equation 12x^(4)-56x^(3)+89x^(2)-56x+12=0 has four real and distinct roots two irrational roots one integer root two imaginary roots

(x^(2)+1)^(2)-x^(2)=0 has (i) four real roots (ii) two real roots (iii) no real roots (iv) one real root

Given z is a complex number with modulus 1. Then the equation [(1+i a)/(1-i a)]^4=z has (a) all roots real and distinct (b)two real and two imaginary (c) three roots two imaginary (d)one root real and three imaginary

The equation (6-x)^4+(8-x)^4=16 has (A) sum of roots 28 (B) product of roots 2688 (C) two real roots (D) two imaginary roots

The quadratic equation ((x+b)(x+c))/((b-a)(c-a))+((x+c)(x+a))/((c-b)(a-b))+((x+a)(x+b))/((a-c)(b-c))=1 has (A) Two real and distinct roots (B) Two Equal roots (C) Non Real Complex Roots (D) Infinite roots

The quadratic equation ((x+b)(x+c))/((b-a)(c-a))+((x+c)(x+a))/((c-b)(a-b))+((x+a)(x+b))/((a-c)(b-c))=1 has (A) Two real and distinct roots (B) Two Equal roots (C) Non Real Complex Roots (D) Infinite roots

f(x) is a polynomial function, f: R rarr R, such that f(2x)=f'(x)f''(x). Equation f(x) = x has (A) three real and positive roots (B) three real and negative roots (C) one real root (D) three real roots such that sum of roots is zero

The quadratic equation ((x+b)(x+c))/((b-a)(c-a))+((x+c)(x+a))/((c-b)(a-b))+((x+a)(x+b))/((a-c)(b-c))=1 (A) Two real and distinct roots (B) Two equal roots (C) non real complex roots (D) infinite roots

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