IF the roots of the equation `ax ^2 +bx + c=0` are real and distinct , then

If a and c are the lengths of segments of any focal chord of the parabola y^(2)=bx,(b>0) then the roots of the equation ax^(2)+bx+c=0 are real and distinct (b) real and equal imaginary (d) none of these

If roots of the quadratic equation bx^(2)-2ax+a=0 are real and distinct then

If the two roots of the equation ax^2 + bx + c = 0 are distinct and real then

Prove that the roots of the quadratic equation ax^(2)-3bx-4a=0 are real and distinct for all real a and b,where a!=b.

Given the roots of equation ax^(2)+bx+c are real and distinct then the graph will lie in which quadrant

IF a=0, bne0 and c is real and rational then one root of the equation ax^2+bx+c=0 is real and rational and the other root is -

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

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

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 b^(2)>4ac then roots of equation ax^(4)+bx^(2)+c=0 are all real and distinct if: b 0b>0,a>0,c>0(d)b>0,a<0,c<0