If the equation `cot^4x-2cos e c^2x+a^2=0` has at least one solution, then the sum of all possible integral values of `a` is equal to 4 (b) 3 (c) 2 (d) 0

The equation tan^4x-2sec^2x+a=0 will have at least one solution if

The values of 'a' for which the equation 4^x-a2^x-a+3=0 has at least one solution.

If a , b in [0,2pi] and the equation x^2+4+3sin(a x+b)-2x=0 has at least one solution, then the value of (a+b) can be (a) (7pi)/2 (b) (5pi)/2 (c) (9pi)/2 (d) none of these

The number of positive integral solutions of x^4-y^4=3789108 is a. 0 b. 1 c. 2 d. 4

If 2a+3b+6c=0 , show that the equation ax^(2)+bx+c=0 has at least one root between 0 and 1.

Find the condition if the equation 3x^2+4a x+b=0 has at least one root in (0,1)dot

If the equation 2^(2x)+a*2^(x+1)+a+1=0 has roots of opposite sign, then the exhaustive set of real values of a is (a)(−∞,0) (b)(−1,−2/3) (c)(−∞,−2/3) (d)(−1,∞)

If ain RR and the equation -3(x-[x])^2+2(x-[x])+a^2=0 (where [x] denotes the greatest integer lex) has no integral solution, then all possible values of a lie in the interval____

If cos(x+pi/3)+cos x=a has real solutions, then (a) number of integral values of a are 3 (b) sum of number of integral values of a is 0 (c) when a=1 , number of solutions for x in [0,2pi] are 3 (d) when a=1, number of solutions for x in [0,2pi] are 2

If a in R and the equation -3(x-[x]^2)+2(x-[x])+a^2=0 (where [x] denotes the greatest integer le x) has no integral solution,then all possible values of a lie in the interval :