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Equation Of Hyperbola Video Lecture | Mathematics (Maths) for JEE Main & Advanced
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FAQs on Equation Of Hyperbola Video Lecture - Mathematics (Maths) for JEE Main & Advanced
| 1. What is the general equation of a hyperbola? |  |
Ans. The general equation of a hyperbola is $\frac{(x-h)^2}{a^2} - \frac{(y-k)^2}{b^2} = 1$, where $(h,k)$ is the center of the hyperbola, and $a$ and $b$ are the distances from the center to the vertices along the x-axis and y-axis respectively.
| 2. How do you determine the foci of a hyperbola from its equation? | |
Ans. To determine the foci of a hyperbola from its equation, you can use the formula $c = \sqrt{a^2 + b^2}$, where $c$ represents the distance from the center to the foci.
| 3. What is the difference between a horizontal and a vertical hyperbola? | |
Ans. In a horizontal hyperbola, the transverse axis is along the x-axis, while in a vertical hyperbola, the transverse axis is along the y-axis. This affects the placement of the vertices and the foci.
| 4. How can you identify the type of hyperbola from its equation? | |
Ans. The type of hyperbola can be identified by looking at the signs in the equation. If the x-term is positive, it is a horizontal hyperbola, and if the y-term is positive, it is a vertical hyperbola.
| 5. How do you find the asymptotes of a hyperbola? | |
Ans. The asymptotes of a hyperbola can be found using the formula $y = \pm \frac{b}{a}x + k$, where $a$ and $b$ are the distances from the center to the vertices along the x-axis and y-axis respectively, and $(h,k)$ is the center of the hyperbola.
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Dec 25, 2024 Last updated |
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