If p,q,r are in G.P. and the equations, `px^(2) + 2qx + r = 0 and dx^2+2ex + f = 0 ` have a common root, then show that `d/p , e/q, f/r` are in A.P.

If a,b,c are in G.P.L, then the equations ax^(2) + 2bx + c = 0 0 and dx^(2) + 2ex+ f = 0 have a common root if ( d)/( a) , ( e )/( b ) , ( f )/( c ) are in :

Value of x in the equations px^(2) + qx+r =0 is :

If p,q,r are in A.P. and are positive, the roots of the quadratic equation px^(2) + qx + r = 0 are real for :

If p and q are the roots of the equation x^(2)+p x+q=0 then

If p and q are the roots of the equation x^2-p x+q=0 , then

The roots of the equation (q- r) x^(2) + (r - p) x + (p - q)= 0 are

If p^(th), q^(th), r^(th) and s^(th) terms of an A.P. are in G.P, then show that (p – q), (q – r), (r – s) are also in G.P.

If p,q,r , three positive real numbers are in A.P., then the roots of px^(2) + qx + r = 0 are all real for :

If p and q are the roots of the equations x^(2) - 3x+ 2 = 0 , find the value of (1)/(p) - (1)/(q)