List of top Mathematics Questions on Quadratic Equations asked in TS POLYCET

For what values of $k$ does the quadratic equation $9x^2 + kx + 1 = 0$ have equal roots?

What is the nature of the roots of the quadratic equation $x^2 - 7x + 10 = 0$?

Which of the following are roots of the quadratic equation $6x^2-x-2=0$?

The formula for finding the roots of quadratic equation is _____.

The discriminant of the quadratic equation \(3x^2 - 2x + \frac{1}{3} = 0\) is:

The sum of the roots of the quadratic equation \(3x^2 - 5x + 2 = 0\) is:

The roots of the quadratic equation \(x^2 - 4x + 4 = 0\) are:

If \(\alpha, \beta\) are the zeros of the polynomial \(P(x) = 3x^2 - x - 4\), then \(\alpha \times \beta =\)

Sum of the areas of two squares is 625 m\(^2\). If the difference of their perimeters is 20 m, find the sides of the two squares.

If the roots of the quadratic equation \(px^2+qx+r=0\), are equal, then \(q^2 =\)

The sum of roots of the quadratic equation \(3x^2-6x+1=0\) is

If ax+b=0, then x =

If the equation 3x²+2x+k=0 has real roots then k is

The condition for ax² + bx+c=0 to be a quadratic equation is

If 5x+py+8=0 and 10x+15y+12=0 has no solution, then p =

The roots of \(x^2+x-6=0\) are

If \(α, ẞ\) are the roots of a quadratic equation \( ax^2 + bx+c=0, a ≠0\) then \(\frac{1}{\alpha} + \frac{1}{\beta}\)=___

If \(x^2+kx+1=0\) has a root x=1 then k=____

If the roots of the quadratic equation \(ax^2 + bx+c=0\) are \(sin α\) and \(cos α\), then \(1+2\frac{c}{a}=\)

The zeroes of the quadratic polynomial \(x^2+24x+119\) are

Cardinal number of the set A={-2, -1,0,1,2} is