Mathematics Tes...

If f(x) is a quadratic expression such that f(1) + f(2) = 0, and -1 is a root of f(x) = 0, then the other root of f(x) = 0 is:

The number of four-lettered words that can be formed using the letters of the word BARRACK is:

Number of ordered pairs (a, b) of real numbers such that (a + ib)²⁰²⁰ = a−ib

If α and β are the roots of the equation u² − 2u + 2 = 0 and if cotθ = x+1, then  is equal to:

Let θ ∈ (π/4, π/2), which of the following statements is true?

Let A = sin⁸θ + cos¹⁴θ, then for all real θ

If the lines joining the foci of the ellipse  where a > b and an extremity of its minor axis are inclined at an angle 60°, then the eccentricity of the ellipse is

Suppose an ellipse and a hyperbola have the same pair of foci on the x- axis with centres at the origin and that they intersect at (2,2). If the eccentricity of the ellipse is 1/2, then the eccentricity of the hyperbola is