The locus of the point P = (a, b) where ...

The locus of the point P = (a, b) where a, b are real numbers such that the roots of `x^(3)+ax^(2)+bx+a =0` are in arithmetic progression is -

A

An ellipse

B

A circle

C

A parabola whose vertex in on the y - axis

D

A parabola whose vertex is on the x - axis

Verified by Experts

The correct Answer is:

C

Similar Questions

Explore conceptually related problems

The locus of the point P=(a,b) where a,b are real numbers such that the root of x^(3)+ax^(2)+bx+a=0 are in arithmetic progression is

If a,b,c are real numbers and Delta >0 then the roots of ax^(2)+bx+c=0 are

If a, b, c are positive real numbers such that the equations ax^(2) + bx + c = 0 and bx^(2) + cx + a = 0 , have a common root, then

Let a, b, c be non-zero real roots of the equation x^(3)+ax^(2)+bx+c=0 . Then

If a,b and c are in arithmetic progression, then the roots of the equation ax^(2)-2bx+c=0 are