New user? Sign up

Existing user? Sign in

Let \(x \in [1,2]\), \(y \in [2,3]\), \(z \in [3,4]\). The minimum and maximum values of \(\dfrac{x^2+y^2+z^2}{xy+yz+zx}\) are ...

Let \(ABC\) be a triangle with \(\angle ABC = 45^{\circ}\). Let \(D\) be the point on \(BC\) such that \(2BD=CD\). If \(\angle BAD = 15^{\circ}\), find \(\angle ACB\) in ...

You are allowed to put a checker on any lattice point in the Cartesian plane with \(y\)-coordinate less than or equal to \(0\) (i.e. a point with integer ...

Does there exist a prime with \(2018\) digits such that it is also palindromic i.e. it reads the same left to right and right to left?

Find the sum of all real \(k\) such that \(x+y+z\) divides \(x^3+y^3+z^3+kxyz\) for all \(x,y,z\).

Problem Loading...

Note Loading...

Set Loading...