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-(2)/(x-1)=1-(2)/(x-1) has a. no root b.one root c.two equals roots d. Infinitely many 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 a/(x-1)+b/(x-2)+c/(x-3)=0(a,b,cgt0) has (A) two imaginary roots (B) one real roots in (1,2) and other in (2,3) (C) no real root in [1,4] (D) two real roots in (1,2)

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 0ltalphaltbetaltgammaltpi/2 then the equation 1/(x-sinalpha)+1/(x-sinbeta)+1/(x-singamma)=0 has (A) imaginary roots (B) real and equal roots (C) real and unequal roots (D) rational 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

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

If p and q are odd integers, then the equation x^2+2px+2q=0 (A) has no integral root (B) has no rational root (C) has no irrational root (D) has no imaginary root

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