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Latus Rectum in Parabola,Examples (Part - 6) - Conic Sections, Mathematics, Class 11 Video Lecture

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FAQs on Latus Rectum in Parabola,Examples (Part - 6) - Conic Sections, Mathematics, Class 11 Video Lecture

1. What is the definition of the latus rectum in a parabola?
Ans. In a parabola, the latus rectum is the line segment passing through the focus and perpendicular to the axis of symmetry. It is twice the focal length of the parabola.
2. How can we find the latus rectum of a parabola?
Ans. To find the latus rectum of a parabola, we need to know the coordinates of the focus. The latus rectum is a line segment parallel to the directrix and passes through the focus. The length of the latus rectum is equal to four times the distance from the focus to the vertex.
3. What is the significance of the latus rectum in a parabola?
Ans. The latus rectum plays a significant role in the properties of a parabola. It helps determine the shape and size of the parabola, as well as its position in the coordinate plane. The latus rectum is used in various calculations and constructions involving parabolas.
4. How does the latus rectum relate to the focal length of a parabola?
Ans. The latus rectum of a parabola is twice the focal length. This means that if we know the length of the latus rectum, we can easily calculate the focal length by dividing it by two. Similarly, if we know the focal length, we can find the length of the latus rectum by multiplying the focal length by two.
5. Can the latus rectum be different for different parabolas?
Ans. Yes, the length of the latus rectum can vary for different parabolas. It depends on the position and orientation of the parabola in the coordinate plane. Parabolas with a larger focal length will have a longer latus rectum, while those with a smaller focal length will have a shorter latus rectum.
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