The equation `e^(sinx)-e^(-sinx)-4=0` has (A) non real roots (B) integral roots (C) rational roots (D) real and unequal roots

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

Let f(x)=x^3+x^2+10x+7sinx, then the equation 1/(y-f(1))+2/(y-f(2))+3/(y-f(3))=0 has (A) no real root (B) one real roots (C) two real roots (D) more than two real 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

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

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 (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 equation 7xx^(2)-(7pi+22)xx+22pi=0has (A) equal roots (B) a root which is negative (C) rational roots only (D) a rational root and an irrational root.

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

20.Let a,b and c be real numbers such that 4a+2b+c=0 and ab>0, Then the equation ax^(2)+bx+c=0 has ( A) real roots (B) imaginary roots (C) exactly one root (D) roots of same sign

If a,b,c are in GP,where a,are positive,then the equation ax^(2)+bx+c=0 has (a) real roots (b) imaginary roots c) ratio of roots =1:w where w is a nonreal cube root of unity (d) ratio of roots =b:ac