Parabola
Easymathematics
The focus of the parabola y² = 8x is
Select the correct option:
Solution
Incorrect! Answer:
(2, 0)
- Compare with Standard Form: The equation y2=8x matches the form y2=4ax.
- Find Coefficient 'a': 4a=8⟹a=2.
- Locus Geometry: For y2=4ax, the focus is located at coordinate (a,0).
- Identify Focus: Substituting a=2 gives the focus as (2,0).
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About This Question
- Subject
- mathematics
- Chapter
- coordinate geometry
- Topic
- parabola
- Difficulty
- Easy
- Year
- 2025
Solution
Correct Answer:
(2, 0)
- Compare with Standard Form: The equation y2=8x matches the form y2=4ax.
- Find Coefficient 'a': 4a=8⟹a=2.
- Locus Geometry: For y2=4ax, the focus is located at coordinate (a,0).
- Identify Focus: Substituting a=2 gives the focus as (2,0).
This easy difficulty mathematics question is from the chapter coordinate geometry, covering the topic of parabola. It appeared in the 2025 exam.
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