The point on the line r: x + 3y - 10 = 0 that is closest to the origin of the Cartesian system is also exterior to the circle
λ: 2x² + 2y² +4x − 12y + k − 4 = 0, with k∈Z.
It is correct to state that among the possible values of k:
[UWSL]there are 8 elements.[/UWSL]
[UWSL]there are three prime numbers.[/UWSL]
[UWSL]there is an element that is a perfect square.[/UWSL]
[UWSL]there are negative numbers.[/UWSL]
λ: 2x² + 2y² +4x − 12y + k − 4 = 0, with k∈Z.
It is correct to state that among the possible values of k:
[UWSL]there are 8 elements.[/UWSL]
[UWSL]there are three prime numbers.[/UWSL]
[UWSL]there is an element that is a perfect square.[/UWSL]
[UWSL]there are negative numbers.[/UWSL]
