Red_Feather
2nd Level Red Feather
- Joined
- Apr 27, 2005
- Messages
- 1,356
- Points
- 36
I'd like to ask the vorpal bunnies a question:
KNOWN: Parabola y=-x^2+ 2(k-1)x + k +2 intersects the x-axis at A and B, and A is on the negative x-axis, B is on the positive x-axis.
QUESTION:
1. Find out the range of k (k∈R);
2.Suppose the length of OA and OB is a and b respectively, and a:b = 1:5, find out the equation of the parabola;
3.With all the terms provided and you got from Question 2, and ⊙D(AB is its diameter) intersects the positive y-axis at P. Draw a tangent of ⊙D at P that intersects the x-axis at E. Find out the coordinates of E.
KNOWN: Parabola y=-x^2+ 2(k-1)x + k +2 intersects the x-axis at A and B, and A is on the negative x-axis, B is on the positive x-axis.
QUESTION:
1. Find out the range of k (k∈R);
2.Suppose the length of OA and OB is a and b respectively, and a:b = 1:5, find out the equation of the parabola;
3.With all the terms provided and you got from Question 2, and ⊙D(AB is its diameter) intersects the positive y-axis at P. Draw a tangent of ⊙D at P that intersects the x-axis at E. Find out the coordinates of E.