DP Further Mathematics HL Questionbank
The parabola, ellipse and hyperbola, including rectangular hyperbola.
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- 18M.2.hl.TZ0.5c: The centre of another ellipse is now given as the point (2, 1). The minor and major axes are of...
- 18M.2.hl.TZ0.5b.iv: Find the equations of the directrices.
- 18M.2.hl.TZ0.5b.iii: Find the coordinates of the foci.
- 18M.2.hl.TZ0.5b.ii: Hence find the eccentricity.
- 18M.2.hl.TZ0.5b.i: Determine which coordinate axis the major axis of the ellipse lies along.
- 18M.2.hl.TZ0.5a: Show that the area enclosed by the ellipse is \(\pi ab\).
- 14M.1.hl.TZ0.6: The parabola \(P\) has equation \({y^2} = 4ax\). The distinct points...
- 15M.2.hl.TZ0.4c: Hence show that (PQ) touches the ellipse.