The equation of a parabola is given by x^2 = 16y. What is the length of the latus rectum?
Practice Questions
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Q1
The equation of a parabola is given by x^2 = 16y. What is the length of the latus rectum?
4
8
16
32
The length of the latus rectum for the parabola x^2 = 4py is given by 4p. Here, 4p = 16, so p = 4. Thus, the length of the latus rectum is 4p = 16.
Questions & Step-by-step Solutions
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Q: The equation of a parabola is given by x^2 = 16y. What is the length of the latus rectum?
Solution: The length of the latus rectum for the parabola x^2 = 4py is given by 4p. Here, 4p = 16, so p = 4. Thus, the length of the latus rectum is 4p = 16.
