A (-2 ; -5), B, C and D are the vertices of quadrilateral ABCD such as the diagonal AC is perpendicular to diagonal BD at T. The equation of BTD is given by 2y + x = 18 and AB =15 units.
3.1 Determine the gradient of a line AC
3.2 Determine the equation of AC in the form of y=mx+c.
3.3 If the equation of AC is y=2x-1, calculate the coordinates of T.
3.4 If ABCD is a kite with AB = BC :
3.4.1 Determine the coordinates of C
3.4.2 Calculate the length of BT
3.4.3 Write down the length of the radius of the circle passing through points B , C and T.
(2)
(3)
(3)
(2)
(4)
(2)
[15]