Commerce Exam > Commerce Videos > Mathematics (Maths) Class 11 > Parabola : Standard Equations of Parabola and Length of Latus Rectum
Parabola : Standard Equations of Parabola and Length of Latus Rectum Video Lecture | Mathematics (Maths) Class 11 - Commerce
FAQs on Parabola : Standard Equations of Parabola and Length of Latus Rectum Video Lecture - Mathematics (Maths) Class 11 - Commerce
| 1. What is the standard equation of a parabola? |  |
Ans. The standard equation of a parabola is given by y = ax^2 + bx + c, where a, b, and c are constants.
| 2. How do you find the length of the latus rectum of a parabola? | |
Ans. The length of the latus rectum of a parabola can be found using the formula 4a, where 'a' is the coefficient of x^2 in the equation of the parabola.
| 3. Can a parabola open downwards? | |
Ans. Yes, a parabola can open downwards if the coefficient 'a' in the equation of the parabola is negative.
| 4. How many types of parabolas are there? | |
Ans. There are two types of parabolas - upward opening and downward opening. The upward opening parabola has a positive coefficient 'a', while the downward opening parabola has a negative coefficient 'a'.
| 5. How can the vertex of a parabola be determined? | |
Ans. The vertex of a parabola can be determined by finding the coordinates of the point where the axis of symmetry intersects the parabola. The axis of symmetry is given by the equation x = -b/2a, where 'a' and 'b' are the coefficients of x^2 and x, respectively, in the equation of the parabola.
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