All the values of m for which both roots of the equation `x^(2)-2mx+m^(2)-1=0` are greater than -2 but less than 4, lie in the interval

Find the values of a for which all the roots of the equation x^4-4x^3-8x^2+a=0 are real.

If the roots of the equation x^2-2a x+a^2-a-3=0 are real and less than 3, then

if the roots of the quadratic equation (4p - p^(2) - 5)x^(2) -(2p−1)x+3p=0 are greater then - 2 less then 4 then p lie in the interval

If the both the roots of the quadratic equation x^(2)-2kx+k^(2)+k-5=0 are less than 5, then k

The integral value of m for which the root of the equation m x^2+(2m-1)x+(m-2)=0 are rational are given by the expression [where n is integer] (A) n^2 (B) n(n+2) (C) n(n+1) (D) none of these

If the roots of the quadratic equation 3x^(2)+2x+a^(2)-a=0 in x are of opposite signs, then a lies in the interval

The smallest value of k, for which both the roots of the equation, x^2-8kx + 16(k^2-k + 1)=0 are real, distinct and have values at least 4, is

One of the roots of equation x^(2)+mx-5=0 is 2 find m.

Find all the value of m for which the equation sin^2x-(m-3)sinx+m=0 has real roots.

The value of a for which the equation 2x^(2)+2 sqrt(6)x+a=0 has equal roots, is