Can someone show me the proof for the following (a diagram would also be helpful).
"A tangent at a point P on an ellipse is equally inclined to the focal chords through P."
thanks in advance.
5 travellers arrive at a town that has 3 hotels. Two of the travellers, Joanne and David, wish to stay in the same hotel. In how many ways can the 5 travellers occupy the hotels, if each hotel must be occupied by at least 1 person?
The base of a particular solid is x^2 + y^2 = 4. Find the volume of the solid if every cross-section perpendicular to the x-axis is a parabolic segment with axis of symmetry passing through the x-axis and height the length of its base. (answer = 256/9)
Use the method of slicing to find the volume of the solid obtained by rotating the region enclosed within the circle (x-1)^2 + y^2 = 1 about the y-axis.
Which of the following species is the strongest oxidising agent?
a) Cu2+
b) Al3+
c) Fe3+
d) Ca2+
Can someone please give me an in-depth explanation on how what the answer is and why? :S