If `a,b,c` are in G.P. and the equations
`ax^(2) + 2b x + c = 0= 0` and `d x^(2) + 2 e x + f = 0` have a common root. Then

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

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

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

If a,b,c, in R and equations ax^(2) + bx + c =0 and x^(2) + 2x + 9 = 0 have a common root then

If a,b,c, in R and equations ax^(2) + bx + c =0 and x^(2) + 2x + 9 = 0 have a common root then

If the equation ax^(2) + bx + c = 0 and 2x^(2) + 3x + 4 = 0 have a common root, then a : b : c

If the equation ax^(2) + bx + c = 0 and 2x^(2) + 3x + 4 = 0 have a common root, then a : b : c