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DIVISION OF LINE SEGMENT 1.The segment joining (1,3), and (4,6) is extended a distance equal to one-sixth of its own length. Find the terminal points. 2.The vertices of a triangle are (-3,-7), (3,1), and (-8,2). Find the intersection of its medians. 3.A circle has its center at (3,-2) and one end of a diameter at (7,2). Find the other end of the diameter. DISTANCE FROM A POINT TO A LINE 1.Find the distance from the line 3x + 7y + 12 = 0 to (6,-7) 2.Find the distance from the line 2x - y + 4 = 0 to (2,8) 3.Find the distance of the line x + 4y - 7 = 0 to (-5,4) 4.Find the bisectors of the interior angles of the triangle whose sides are the lines 7x + y - 7 = 0; x + y + 1 = 0; and x + 7y -4 = 0. 5.Find the distance of the point (6,-3) from the line 2x - y + 4 = 0. 6.Find the bisector of the obtuse angle between the lines 11x + 2y - 7 = 0 and x + 2y = 0.
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