For all x,`x^2 + 2ax - 5a + 6 `> 0, then the range of 'a' is

For all x , x^2+2ax+10-3a>0 , then the interval in which a lies is

If x in R, then the range of (x)/(x^(2)-5x + 9) is

If (x - p)/(x^(2) - 3x + 2) takes all real values for x in R then the range of P is

Let f be differentiable for all x , If f(1)=-2a n df^(prime)(x)geq2 for all x in [1,6], then find the range of values of f(6)dot

Let f be differentiable for all x , If f(1)=-2a n df^(prime)(x)geq2 for all x in [1,6], then find the range of values of f(b)dot

The exhaustive range of value of a such that the angle between the pair of tangents drawn from (a,a) to the circle x^2 +y^2 -2x -2y -6 =0 lies in the range (pi/3,pi) is

If x is real, then range of (3x -2)/(7x+5) is :

If the inequality x^(2)+ax+a^(2)+6alt0 is satisfied for all x" in "(1, 2) , then the sum of all the integral values of a must be equal to

Consider the equation x^4 + 2ax^3 + x^2 + 2ax + 1 = 0 where a in R . Also range of function f(x)= x+1/x is (-oo,-2]uu[2,oo) If equation has at least two distinct positive real roots then all possible values of a are

The expression x^2-4px+q^2> 0 for all real x and also r^2+ p^2 < qr the range of f(x) = (x+r) / (x^2 +qx + p^2) is