The vertical distance of a given point on Mount HImalayas is

km. It has a horizontal distance of

km from a reference point

*O*. A plane flew above Mount Himalayas and its average vertical height was given by

km, where

*k* is a real number. The horizontal distance of the plane was also

*x* km from

*O*.

Given that the vertical safety distance between any plane and Mount Himalayas should be at least 1 km at any point in time, can the plane meet the safety requirements at all times? Explain your answer with the help of mathematical concepts learnt in the topic of quadratic functions.