Second Year Math Conic Sections

Example 2. Discuss and sketch the graph of the equation\[25 x^{2}-16 y^{2}=400\]

$8. Find the points of intersection of the given conics(ii) x^{2}+y^{2}=8 and x^{2}-y^{2}=1$

$2. Find the centre and radius of the circle with the given equation(d) 4 x^{2}+4 y^{2}-8 x+12 y-25=0$

$3. Write an equation of the circle that passes through the given points (a) A(45) B(-4-3) C(8-3)$

$1. Find an equation of the ellipse with given data and sketch its graph:(iv) Vertices (-11)(51) ; foci (41) and (01)$

$1. Find an equation of the hyperbola with the given data. Sketch the graph of each.(ii) Foci (\pm 50) vertex (30)$