If the quadratic equation ax²+bx+c=0 if a and c are of opposite signs and b is real,then roots of the equation are

If x<3 or x>4 then the value of x²-7x+12 is

 I: The equation of the line parallel to 2x+3y-5=0 and passing through the point (3, -4) is 2x+3y-13=0

II: The equation of the line perpendicular to 2x+3y-5=0 and passing through the point (3, -4) is 3x-2y- 17=0

If 4 < x < 8 then the value of 12x-x²-32 is

I:If α,β are the roots of the equation ax²+bx+c=0 then the quadratic equation whose roots are α+β,αβ is a²x²+a(b-c)x-bc=0

II:If α,β are the roots of 9x²+6x+1=0 then the equations with the roots 1/α,1/β is x²+6x+9=0

The maximum value of a²-abx-b²x² is

The value of ‘a’ such that the sum of cubes of the roots of the equation x² – ax + (2a – 3)=0 assumes the minimum value is

The extreme value of x²-5x+6 is

If x²+4y²-8x+12=0 is satisfied by real values of x and y then y must lies between

If xy+2x-3y-k is resolvable into two linear factors then k=