NDA || Mathematics || Algebra || Quadratic Equation || Quiz 2020

If  then find y

Find range of values of y if

Let [x] denote the greatest integer function. What is the number of solutions of the equation x² - 4x + [x] = 0 in the interval [0, 2]?

The sum of all real roots of the equation  is

If roots of (k+6)x² –(4k+2)x+7k+4 = 0 are reciprocal to each other, find k.

If α and β are the roots of the equation 3x²+ 2x+ 1 = 0; then the equation whose roots are α+β^-1 and β+α^-1 is

The roots of the equation  are

If α and  are the roots of the equations 3x² + 8x + 2 = 0 then  = ?

If A = {x ∈ Z : x³ – 1 = 0} and B = {x ∈ Z : x² + x + 1 = 0}, where Z is set of complex numbers, then what is A ∩ B equal to?

If  and  are the roots of the equation  then the equation whose roots are  and  is