Test: Nature Of Roots - Class 10 MCQ

The value of b² - 4ac  for equation 3x² - 7x - 2 = 0 is

Which of the following is not a quadratic equation ?

For what value(s) of k will the equation kx²-5x+k = 0 have a repeated root?​

A real number is said to be a root of ax²+bx+c = 0

-3 is a root of the quadratic equation 2x² +px – 15 = 0. For what value of q, the equation p(x² + x ) + q = 0 has equal roots?​

The roots of x² – 8x + 12 = 0, are

If 1/2 is a root of the equation x²+kx – (5/4) = 0, then the other root of the quadratic equation is​

The sum of the ages of two friends is 20 years. Four years ago, the product of their ages in years was 48. Find their present ages

The nature of the roots of following quadratic equation 

If the equation px² – 6x – 2 = 0 has real roots then, ________

The positive value of k, for which both equations: x² + kx + 64 = 0 and x² – 8x + k = 0 have real roots is_______

If one root of a Quadratic equation is m +√n, then the other root is​

If the value of the Discriminant function of a quadratic equation is D = 27, then its roots are

Comment on the nature of the roots of the equation 7x - 3x² - 2 = 0​

The roots of the equation x² – 3x – m (m + 3) = 0, where m is a constant, are​

If the equation 9x² – 6x + c = 0 has equal roots then, the value of c is 

If -3 is a root of both the Quadratic equations 2x² + px – 15 = 0, and p(x² + x) + q = 0, then the value of q if the equation containing it has equal roots is

If a,b,c are real and b²-4ac >0 then roots of equation are​

The quadratic equation whose roots are real and equal is:​

Which of the following equations has two distinct real roots?​

If the equation 2x² + 2(c - 20) x + (c - 20) = 0 has equal roots then, the value of c is

Which of the following is a solution of the quadratic equation x² - b² = a (2x - a)