Algebra PYQ

If the roots of x² - 5x + k = 0 are in the ratio 2:3, then k equals:

If α and β are roots of x² - 5x + 6 = 0, then α³ + β³ equals:

For the quadratic equation ax² + bx + c = 0 to have two distinct real roots, the discriminant must satisfy:

If α and β are roots of x² - 5x + 6 = 0, then α³ + β³ is equal to:

If the sum of first n terms of an AP is 3n² + 5n, then the common difference is:

If $\\alpha$ and $\\beta$ are roots of $x^2 - 5x + 6 = 0$, then $\\alpha + \\beta$ is

The number of terms in the expansion of (1 + x)²⁰ + (1 - x)²⁰ is:

The value of ¹⁰C₀ + ¹⁰C₁ + ¹⁰C₂ + ... + ¹⁰C₁₀ is:

The value of $i^{100}$ where $i = \\sqrt{-1}$ is

If |z - 2| = |z + 2|, then z lies on:

The number of solutions of the equation x² - 5|x| + 6 = 0 is:

The value of log₂8 is:

If the determinant |1 2 3; 4 5 6; 7 8 k| = 0, then k equals: