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Parts of Hyperbola Video Lecture | Mathematics (Maths) for JEE Main & Advanced
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FAQs on Parts of Hyperbola Video Lecture - Mathematics (Maths) for JEE Main & Advanced
| 1. What are the key components of a hyperbola? |  |
Ans. A hyperbola is defined by its center, vertices, foci, asymptotes, and transverse and conjugate axes.
| 2. How is the equation of a hyperbola written in standard form? | |
Ans. The standard form of the equation of a hyperbola is (x-h)^2/a^2 - (y-k)^2/b^2 = 1 for a horizontal transverse axis or (y-k)^2/a^2 - (x-h)^2/b^2 = 1 for a vertical transverse axis, where (h,k) is the center of the hyperbola.
| 3. What is the relationship between the distance between the foci and the vertices in a hyperbola? | |
Ans. The distance between the foci of a hyperbola is equal to 2a, where a is the distance from the center to a vertex.
| 4. How do you determine if a hyperbola opens horizontally or vertically? | |
Ans. If the transverse axis is horizontal, the hyperbola opens horizontally, and if the transverse axis is vertical, the hyperbola opens vertically.
| 5. How can you find the asymptotes of a hyperbola? | |
Ans. The asymptotes of a hyperbola can be found by using the equation y = ±(b/a)x + k, where a and b are the distances from the center to the vertices and co-vertices, respectively.
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