On a golf course, three holes \(A(-8, -2)\), \(B\) and \(C(7, -5)\) lie on a straight line in that order. The distance between \(B\) and \(C\) is two times that between \(B\) and \(A\).
Rahul strikes the ball, which is at point \(P(2,3)\), such that it goes in the hole \(B\).
i) Find the coordinates of hole \(B\).
Rahul strikes the ball, which is at point \(P(2,3)\), such that it goes in the hole \(B\).
i) Find the coordinates of hole \(B\).
ii) Find the shortest distance covered by the ball.
Answer:
i) The coordinates of hole \(B\) is .
ii) The shortest distance covered by the ball is .