Length and midpoint: แบบฝึกหัด

Find the coordinates of the midpoint of the line segment joining the points (5, -2) and (11, 8).

The distance between the point (a, 3) and the point (4, 7) is \(5\) units. Given that \(a > 4\), find the value of \(a\).

The midpoint of a line segment joining point \(A(-2, 5)\) and point \(B\) is \(M(3, 1)\). Find the coordinates of point \(B\).

Find the coordinates of the midpoint of the line segment joining the points \(P(-5, 2)\) and \(Q(3, 8)\).

A line segment has midpoint \(M(2, 3)\). One endpoint is \(A(-1, 5)\). Find the coordinates of the other endpoint \(B\).

Point \(A\) has coordinates \((-3, 7)\) and point \(B\) has coordinates \((5, 1)\). Calculate the length of the line segment \(AB\).

A line segment joins the point \(A(4, -1)\) and the point \(B(-2, 7)\).
(a) Find the coordinates of the midpoint of \(AB\).
(b) Calculate the length of the line segment \(AB\).