Back to: Further Mathematics SS2
THE HYPERBOLA
The hyperbola is the locus of a point P, moving in a plane such that the distance from two fixed points called the foci have a constant difference
GENERAL EVALUATION
1. Write the equation of the ellipse, x2 + 3y2 + 2x –24y + 46 = 0 in the canonical form hence determine. Its vertices and foci
2. Find the vertices and foci of the hyperbola 25x2 – 4y2 = 100
3. Find the equation of the tangent and normal to the parabola y2 – 18x = 0 at point (2,6)
READING ASSIGNMENT: New Further Mathematics Project 3 by TuttuhAdegun and Godspower5th Edition
WEEKEND ASSIGNMENT
1. Find the equation of the tangent to the ellipse 4x2 +9 y2 = 36 at point (0,-2)
A, 6y + x = 9 B, 3y + x = 9 C, 6y + 4x = 9 D, y +6 x = -9
2. Find the foci of the ellipse 4x2 + 9y2 = 72
A, 14 or -14 B, or – C, 5 or -5 D, or –
3. Find the equation of the normal to the parabola y2-20x = 0 at (3 , 2 )
A. 5y + x = 13 B. 3y + x = 9 C. 5y + x = 13 D. 5y + x = 13
4. Which of the following is true eccentricity e of a parabola A.e< 1 B. e> 1 C. e = 1 D. e >= 1
5. Which of the following is true eccentricity e of a hyperbola A. e < 1 B. e > 1 C. e = 1 D. e >=1
THEORY
1. (a) Show that the points Q(6 , 2) lies on a circle x2 + y2 – 4x +2y -20 = 0 lies on a circle
(b) Find the equation of the tangent to the circle at the point Q
2. write the equation of the following ellipses in their canonical form and hence determine
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