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Parabola : Summary and Examples Video Lecture | Mathematics (Maths) Class 11 - Commerce

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FAQs on Parabola : Summary and Examples Video Lecture - Mathematics (Maths) Class 11 - Commerce

1. What is a parabola?
Ans. A parabola is a U-shaped curve that can be formed by the graph of a quadratic function. It is symmetric and has a vertex as its highest or lowest point.
2. How do you find the vertex of a parabola?
Ans. To find the vertex of a parabola in the form y = ax^2 + bx + c, you can use the formula x = -b/2a. This will give you the x-coordinate of the vertex. To find the y-coordinate, substitute the x-coordinate into the equation.
3. What are the different forms of the equation of a parabola?
Ans. There are three main forms of the equation of a parabola: standard form (y = ax^2 + bx + c), vertex form (y = a(x-h)^2 + k), and intercept form (y = a(x-p)(x-q)). Each form has its own advantages depending on the given information about the parabola.
4. How can I determine if a parabola opens upward or downward?
Ans. The coefficient of the x^2 term determines the direction of the parabola. If the coefficient is positive, the parabola opens upward, and if it is negative, the parabola opens downward.
5. What are some real-life examples of parabolas?
Ans. Parabolas can be found in various real-life scenarios such as the trajectory of a thrown object, the shape of satellite dishes, the design of arches in architecture, and the path of water in a fountain.
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