Home
Class 11
MATHS
Let a ,b ,c in Q^+ satisfying a > b > c...

Let `a ,b ,c in Q^+` satisfying `a > b > cdot` Which of the following statements (s) hold true of the quadratic polynomial `f(x)=(a+b-2c)x^2+(b+c-2a)x+(c+a-2b)?` The mouth of the parabola `y=f(x)` opens upwards Both roots of the equation `f(x)=0` are rational The x-coordinate of vertex of the graph is positive The product of the roots is always negative

Promotional Banner

Similar Questions

Explore conceptually related problems

Let a ,b ,c in Q^+ satisfying a > b > c dot Which of the following statements (s) hold true of the quadratic polynomial f(x)=(a+b-2c)x^2+(b+c-2a)x+(c+a-2b)? A) The mouth of the parabola y=f(x) opens upwards B) Both roots of the equation f(x)=0 are rational C) The x-coordinate of vertex of the graph is positive D) The product of the roots is always negative

Let a ,b ,c in Q^+ satisfying a > b > c . Which of the following statement(s) hold true of the quadratic polynomial f(x)=(a+b-2c)x^2+(b+c-2a)x+(c+a-2b)? a. The mouth of the parabola y=f(x) opens upwards b. Both roots of the equation f(x)=0 are rational c. The x-coordinate of vertex of the graph is positive d. The product of the roots is always negative

Let a ,b ,c in Q^+ satisfying a > b > c . Which of the following statement(s) hold true of the quadratic polynomial f(x)=(a+b-2c)x^2+(b+c-2a)x+(c+a-2b)? a. The mouth of the parabola y=f(x) opens upwards b. Both roots of the equation f(x)=0 are rational c. The x-coordinate of vertex of the graph is positive d. The product of the roots is always negative

The roots of the quadratic equation (a + b-2c)x^2+ (2a-b-c) x + (a-2b + c) = 0 are

The roots of the quadratic equation (a + b-2c)x^2+ (2a-b-c) x + (a-2b + c) = 0 are

The roots of the quadratic equation (a + b-2c)x^2+ (2a-b-c) x + (a-2b + c) = 0 are

The roots of the quadratic equation (a + b-2c)x^2- (2a-b-c) x + (a-2b + c) = 0 are

The roots of the quadratic equation (a+b-2c)x^(2)+(2a-b-c)x+(a-2b+c)=0 are

The roots of the equation (b-c) x^2 +(c-a)x+(a-b)=0 are

The roots of the equation (b-c) x^2 +(c-a)x+(a-b)=0 are