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

## Mathematics (Maths) Class 11

85 videos|243 docs|99 tests

## 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.

## Mathematics (Maths) Class 11

85 videos|243 docs|99 tests

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