If `4^x-2^(x+2)+5+||b-1|-3|=|siny|, x , y , b in R ,` then the possible value of `b` is_________

If aa n db are positive numbers and eah of the equations x^2+a x+2b=0a n dx^2+2b x+a=0 has real roots, then the smallest possible value of (a+b) is_________.

If a(x^(2)+y^(2)+2y+1)=(x-2y+3)^(2) is an ellipse and a in (b, oo) , then the value of b is ___________

For x in R , find all possible values of |x-3|-2 (ii) 4-|2x+3|

If the line 3x-4y-lambda=0 touches the circle x^2 + y^2-4x-8y- 5=0 at (a, b) then which of the following is not the possible value of lambda+a + b ?

If (1 -2x)/(3 + 2x - x^(2)) = (A)/(3 -x ) + (B)/(x + 1) ,then the value of A + B is

If c<1 and the system of equations x+y-1=0,2x-y-c=0,a n db x+3b y-c=0 is consistent, then the possible real values of b are b (-3 3/4) b. b (-3/2,4) c. b (-3/4,3) d. none of these

If c<1 and the system of equations x+y-1=0,2x-y-c=0,a n db x+3b y-c=0 is consistent, then the possible real values of b are b (-3 3/4) b. b (-3/2,4) c. b (-3/4,3) d. none of these

Let cos^(-1) (4x^(3) -3x) = a + b cos^(-1) x If x in [-1, -(1)/(2)) , then the value of a + b pi is

Let cos^(-1)(x)+cos^(-1)(2x)+cos^(-1)(3x)b epidot If x satisfies the equation a x^3+b x^2+c x-c_1=0, then the value of (b-a-c) is_________

If y=(a+b x^(3/2))/(x^(5/4))a n dy^(prime)=0a tx=5, then the value of (a^2)/(b^2) is_______