Define a conic section in terms of focus, directrix and eccentricity, and state the value of the eccentricity for each type.
Conic Sections
Original Khojo Papers practice question — not from a past board paper.
Eccentricity 3/5 and foci (±3, 0)
No citable source has been recorded for this record. Treat it as practice material, not as fact.
Here a = 5 and b = 4, so e = √(1 − b2/a2) = √(1 − 16/25) = 3/5 and the foci are at (±ae, 0) = (±3, 0).
From the same topic and chapter, at a similar level.
Define a conic section in terms of focus, directrix and eccentricity, and state the value of the eccentricity for each type.
Conic Sections
Find the equation of the parabola with focus (0, 3) and directrix y = −3.
Conic Sections
For the parabola y2 = 12x, find the focus, the equation of the directrix and the length of the latus rectum.
Conic Sections
For the hyperbola x2/9 − y2/16 = 1, find the eccentricity and the foci.
Conic Sections
For the ellipse x2/16 + y2/9 = 1, find the eccentricity and the length of the latus rectum.
Conic Sections
In a class of 60 students, 35 play cricket, 28 play football and 12 play both. How many play neither?
Sets