The number of integral values of m for which the quadratic expression `(1 + 2m)x^(2) - 2(1 + 3m)x + 4(1 + m), x in R`, is always positive is

The number of integral values of m for which the equation (1+m^(2)) x^(2) - 2(1+3m)x+(1+8m) = 0 , has no real roots is

The number of integral values of m for which the equation (1+m^(2)) x^(2) - 2(1+3m)x+(1+8m) = 0 , has no real roots is

The number of integral values of m for which the equation (1+m^(2))x^(2)-2(1+3m)x+(1+8m)=0, has no real roots is

The number of interal values of m for which the equation (1+m^(2))x^(2)-2(1+3m)x+(1+8m)=0, has no ral roots is

Largest integral value of m for which the quadratic expression y=x^(2)+(2m+6)x+4m+12 is always positive AA x in R is

The number of negative intergral values of m for which the expression x ^(2) + 2(m -1) x +m +5 is positive AA x gt 1 is:

The number of negative intergral values of m for which the expression x ^(2) + 2(m -1) x +m +5 is positive AA x gt 1 is:

The number of integral values of m, for which the root of x^(2)-2mx+m^(2)-1=0 will lie between -2 and 4

Let f(x)=(1+m)x^2-2(1+3m)x+4(1+2m). Number of integral values of m for which given quadratic expression is always positive is (A) 8 (B) 7 (C) 8 (D) 9

Let f(x)=(1+m)x^2-2(1+3m)x+4(1+2m). Numbe of interval values of m for which given qudratic expression is always positive is (A) 8 (B) 7 (C) 8 (D) 9