Same chapter3 marksDifficulty: Medium
For the hyperbola x2/9 − y2/16 = 1, find the eccentricity and the foci.
Conic Sections
3 marksDifficulty: Medium
Define a conic section in terms of focus, directrix and eccentricity, and state the value of the eccentricity for each type.
Original Khojo Papers practice question — not from a past board paper.
Answer
A conic is the locus of a point that moves so that the ratio of its distance from a fixed point, the focus, to its distance from a fixed line, the directrix, is a constant called the eccentricity. For a parabola e = 1, for an ellipse e < 1, and for a hyperbola e > 1. A circle is the limiting case with e = 0.
No citable source has been recorded for this record. Treat it as practice material, not as fact.
Explanation
This single definition covers all the conics at once.
Related questions
From the same topic and chapter, at a similar level.
Same chapter3 marksDifficulty: Medium
Find the equation of the parabola with focus (0, 3) and directrix y = −3.
Conic Sections
Same chapter3 marksDifficulty: Medium
For the parabola y2 = 12x, find the focus, the equation of the directrix and the length of the latus rectum.
Conic Sections
Same chapter3 marksDifficulty: Medium
For the ellipse x2/25 + y2/16 = 1, find the eccentricity and the coordinates of the foci.
Conic Sections
Same chapter3 marksDifficulty: Medium
For the ellipse x2/16 + y2/9 = 1, find the eccentricity and the length of the latus rectum.
Conic Sections
Same subject3 marksDifficulty: Medium
In a class of 60 students, 35 play cricket, 28 play football and 12 play both. How many play neither?
Sets