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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.
209 videos|443 docs|143 tests

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