the line y=2x+3 intersects the y-axis at A.The points BC on this line are such that AB=BC.The line through B perpendicular to AC passes through the point D(-1,6).Calculate

a)the eqn. of BD.

b)coordinates of B

c)coordinates of C

2)given that coordinates in each of the following,find the perpendicular bisector of AB.

a)A(1,2) B(3,4)

b)A(2,3) B(-1,9)

3)the line 3x+y=8 interscects the curve $\displaystyle 3x^2$+$\displaystyle y^2$=28 at A and B.Find,

a)the length of AB

b)the equation of the perpendicular bisector of AB.