List of top Mathematics Questions on Quadratic Equations asked in CET Delhi Polytechnic

If \( \alpha \) and \( \beta \) are the roots of \( 2x^2 - 4x + 1 = 0 \). Then \( \frac{1}{\alpha^2\beta} + \frac{1}{\alpha\beta^2} = \)
If the equation : \( (a^2+b^2)x^2 - 2(ac+bd)x + (c^2+d^2) = 0 \) has equal roots then :
If \(a\) and \(b\) can take values 1,2,3,4. Then the number of the equations of the form : \(ax^2+bx+1=0\) having real roots is :
If the equation \(x^2 + 4x + k = 0\) has real and distinct roots then :
If \(\alpha\) and \(\beta\) are the zeros of the polynomial \(2x^2 - 7x + 3\), then \(\alpha^2 + \beta^2\) is :
The zeros of the quadratic polynomial \(x^2 + 99x + 127\) are :
A quadratic polynomial whose zeroes are -3 and 4 is :