If `a,b,c epsilon {1,2,3,4,5},` the number of equations of the form `ax^2+bx+c=0` which have real roots is (A) 25 (B) 26 (C) 27 (D) 24

Let alpha, beta be the roots of x^2-x+p=0 and gamma, delta be the roots of x^2-4x+q=0 such that alpha, beta, gamma, delta are in G.P. and pge2. If a,b,c epsilon {1,2,3,4,5}, let the number of equation of the form ax^2+bx+c=0 which have real roots be r, then the minium value of p q r =

If a and b can take values 1,\ 2,\ 3,\ 4 . Then the number of the equations of the form a x^2+b x+1=0 having real roots is (a) 10 (b) 7 (c) 6 (d) 12

If the equation f(x)= ax^2+bx+c=0 has no real root, then (a+b+c)c is (A) =0 (B) gt0 (C) lt0 (D) not real

If a, b, c are positive and a = 2b + 3c, then roots of the equation ax^(2) + bx + c = 0 are real for

If the equation ax^(2) + bx + c = 0, a,b, c, in R have non -real roots, then

If a, b and c are positive real and a = 2b + 3c , then the equation ax^(2) + bx + c = 0 has real roots for

If a,b,c are positive real numbers, then the number of real roots of the equation ax^2+b|x|+c is

The quadratic equation ax^(2)+bx+c=0 has real roots if:

Suppose 1,2,3 are the roots of the equation x^4 + ax^2 + bx + c = 0 . Find the value of c.

If a,b,c are positive real numbers, then the number of positive real roots of the equation ax^(2)+bx+c=0 is