JEE Exam > JEE Videos > Mathematics (Maths) for JEE Main & Advanced > Equation of Parabola
Equation of Parabola Video Lecture | Mathematics (Maths) for JEE Main & Advanced
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FAQs on Equation of Parabola Video Lecture - Mathematics (Maths) for JEE Main & Advanced
| 1. What is the standard form of the equation of a parabola? |  |
Ans. The standard form of the equation of a parabola is \(y = ax^2 + bx + c\) where \(a\), \(b\), and \(c\) are constants.
| 2. How do you determine the direction of the opening of a parabola from its equation? | |
Ans. The sign of the coefficient \(a\) in the equation of a parabola determines the direction of its opening. If \(a > 0\), the parabola opens upwards, and if \(a < 0\), the parabola opens downwards.
| 3. How can you find the vertex of a parabola from its equation? | |
Ans. The vertex of a parabola with equation \(y = ax^2 + bx + c\) can be found using the formula \((-b/2a, c - b^2/4a)\).
| 4. What is the significance of the coefficient \(a\) in the equation of a parabola? | |
Ans. The coefficient \(a\) in the equation of a parabola determines the width of the parabola. A larger absolute value of \(a\) results in a narrower parabola, while a smaller absolute value of \(a\) results in a wider parabola.
| 5. How can you determine if a point lies on a parabola given its equation? | |
Ans. To determine if a point \((x, y)\) lies on a parabola with equation \(y = ax^2 + bx + c\), substitute the coordinates of the point into the equation. If the equation holds true, then the point lies on the parabola.
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Nov 21, 2024 Last updated |
Video Description: Equation of Parabola for JEE 2024 is part of Mathematics (Maths) for JEE Main & Advanced preparation.
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