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 2 d. none of these

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 c. Two real roots if 1 d . No real roots if a<-1

If b_1. b_2=2(c_1+c_2) then at least one of the equation x^2+b_1x+c_1=0 and x^2+b_2x+c_2=0 has a) imaginary roots b) real roots c) purely imaginary roots d) none of these

If b_1. b_2=2(c_1+c_2) then at least one of the equation x^2+b_1x+c_1=0 and x^2+b_2x+c_2=0 has a) imaginary roots b) real roots c) purely imaginary roots d) none of these

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 :

If the equation a x^2+b x+c=x has no real roots, then the equation a(a x^2+b x+c)^2+b(a x^2+b x+c)+c=x will have a. four real roots b. no real root c. at least two least roots d. none of these

If the equation a x^2+b x+c=x has no real roots, then the equation a(a x^2+b x+c)^2+b(a x^2+b x+c)+c=x will have a. four real roots b. no real root c. at least two least roots d. none of these