Find the value of k if the expression kx3 + x2 - 5x - 2 leaves a remainder 2 when it is divided by 2x + 1

If tan θ θ = 54 5 4 find sin2θ θ - cos2θ

The binary operation ⊕ ⊕ defined on the set of real numbers is such that x ⊕ ⊕ y = xy6 x y 6 for all x, y ϵ ϵ R. Find the inverse of 20 under this operation ...

a binary operation ⊕ ⊕ o the set of rational numbers is defined as x ⊕ ⊕ y = x2−y22xy x 2 − y 2 2 x y . Find -5 ⊕ ⊕ 3

If x = ?? ??1012?10?101?? ?? | 1 0 1 2 ? 1 0 ? 1 0 1 | and y = ?? ???1120?1?1201?? ?? | ? 1 1 2 0 ? 1 ? 1 2 0 1 | find 2x - y

The sum of the first n positive integers is

Find p, q for which (2p83−5q) ( 2 p 8 3 − 5 q ) (12) ( 1 2 ) (24−17)

If T = 2π π √Lg L g , make g the subject of the formula

If the locus of the points which are equidistant from points P and Q meets line PQ at point N, then PN equals