Coordinate geometry 2 questions | form six Pure Advanced Mathematics

Find Coordinate geometry 2 examination questions, form six Pure Advanced Mathematics in acaproso.com

#	Question
1	Sketch the graph of $r=2+4 cos t.$ Mathematical Calculation
2	If $9y^{2}-25x^{2}+200x-544=0$ is the hyperbola equation; find the center, the vertices, the foci and the equation of the asymptotes. Convert $x^{2}+y^{2}=4x$ into polar equation. Convert (1,-1) into polar coordinates. Mathematical Calculation
3	Find the equation of the tangent and normal at $P(a cos alpha , b sin alpha)$ to the ellipse $b^{2}x^{2}+a^{2}y^{2}=a^{2}b^{2}$ Mathematical Calculation
4	Define a conic section. Mathematical Calculation
5	A man running a race course notes that the sum of the distances from the two flag posts to him is always 10 meters. If the distance between the flag posts is 8 meters, find the equation of the path traced by the man. Mathematical Calculation
6	Sketch the graph of $r=2(1+ sin t)$ Mathematical Calculation
7	Find the equation of the tangent to the ellipse $9x^{2}+25y^{2}-18x-100y-116=0$ at (1,5). Mathematical Calculation
8	The normal at the point $p(4 cos heta, 3 sin heta)$ on the ellipse $frac{x^{2}}{16}+frac{y^{2}}{9}=1$ meets the x-axis and y-axis at A and B respectively. Show that the locus of the midpoint of AB is an ellipse with the same eccentricity as the given ellipse. Mathematical Calculation
9	Determine the polar equation of $x^{2}+y^{2}-2x-3y=0$ . Draw the graph of the polar equation obtained in part (i) above. Mathematical Calculation
10	Show that the line 3x-y+1=0 touches the parabola $y^{2}=12x$ . If ax_by+c=0 touches the parabola $x^{2}-8y=0$ , find an equation connecting a, b and c. Mathematical Calculation