If the equation `ax^2 + bx + c = 0, 0 < a < b < c,` has non real complex roots `z_1 and z_2` then

If the roots of the equation ax^2 + bx + c = 0, a != 0 (a, b, c are real numbers), are imaginary and a + c < b, then

If the equation ax^2 + bx + c = 0 ( a gt 0) has two roots alpha and beta such that alpha 2 , then

If /_\ PQR is right-angled at R and tan P/2, tan Q/2 are the roots of the equation ax^(2) + bx + c = 0, a != 0 , show that a + b = c .

If one root of the equation ax^(2) + bx+ c = 0, a !=0 is reciprocal of the other root , then which one of the following is correct?

If coefficients of the equation ax^2 + bx + c = 0 , a!=0 are real and roots of the equation are non-real complex and a+c < b , then

If, in a /_\PQR , right angled at R, tan (P/2) and tan (Q/2) are the roots of the equation ax^(2) + bx + c = 0 , a!= 0 , then

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 :