The equation `x-2/(x-1)=1-2/(x-1)` has a. no root b. one root c. two equals roots d. Infinitely many roots

The equation x-(2)/(x-1)=1-(2)/(x-1) has (1984,2M ) no root (b) one root to equal roots (d) infinitely many roots

The equation (x/(x+1))^2+(x/(x-1))^2=a(a-1) has a. Four real roots if a >2 b.Four real roots if a<-1 c Two real roots if 1

The equation (x-1)(x-2)(x-3)=24 has the real root equal to a' and the complex roots b and c.Then the value of (bc)/(a), is

Equation ax^(2)+2x+1 has one double root if :

The quadratic equation 2x^(2)-sqrt5x+1=0 has (a) two distinct real roots (b) two equal real roots (c) no real roots (d) more than 2 real roots

Statement-1 : The equation 3x^(5)+15x-18=0 has exactly one real root. Statement-2: Between any two roots of , there is a root of its derivative f'(x) .

The equation e^(sin x)-e^(-sin x)-4=0 has (A) infinite number of real roots (B) no real roots (C) exactly one real root (D) exactly four real roots

If b>a, then the equation (x-a)(x-b)-1=0 has (2000,1M) both roots in (a,b) both roots in (-oo,a) both roots in (b,+oo) one root in (-oo,a) and the other in (b,oo)

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

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