1. If a . 3 tan x + a. 3-tanx = 2 has real solutions, 18. x+",05x ST then the set of possible values of the ! parameter “a” is a) (-1,1] b) (-1,0] c) (0, 1] d) (0,00) 1

If a. 3^(tanx) + a. 3^(-tanx) - 2 = 0 has real solutions, x != pi/2 , 0 le x le pi, then find the set of all possible values of parameter 'a'.

If a.3^(tan x)+a*3^(-tan x)-2=0 has real solutions,x!=(pi)/(2),0<=x<=pi, then find the set of all possible values of parameter 'a'.

Exhaustive set of values of parameter 'a' so that sin^(-1)x-tan^(-1)x=a has a solution is

Exhaustive set of values of parameter 'a' so that sin^(-1)x-tan^(-1)x=a has a solution is

IF (1+k) tan ^2 x-4 tan x -1 + k=0 has real roots tan x_1 and tanx_2 then

If the equation (x/(1+x^2))^2+a(x/(1+x^2))+3=0 has exactly two real roots which are distinct, then the set of possible real values of a is ((-13)/2,0) (b) (oo,-(13)/2) ((-13)/2,(13)/2) (d) ((13)/2,oo)

If the equation (x/(1+x^2))^2+a(x/(1+x^2))+3=0 has exactly two real roots which are distinct, then the set of possible real values of a is ((-13)/2,0) (b) (oo,-(13)/2) ((-13)/2,(13)/2) (d) ((13)/2,oo)

Let f(x)=a^(x)-x ln a, a> 1. Then the complete set of real values of x for which f(x)>0 is (a)(1,oo)(b)(-1,oo)(c)(0,oo)(d)(0,1)

if (1+k)tan^2x-4tanx-1+k=0 has real roots tanx_1 and tanx_2 then

If c lt 1 and the system of equations x + y - 1 = 0, 2x - y - c = 0 and -bx + 3by - c = 0 is consistent, then the possible real values of b are a) b in (-3,(3)/(4)) b) b in (-(3)/(2),4) c) b in (-(3)/(4),3) d)None of these