Question
Download Solution PDFIf parabola y2 = 4kx passes through point (-2, 1), then the length of latus rectum is:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
The length of the latus rectum of the parabola y2 = 4ax is 4a.
Calculations:
Given, the parabola y2 = 4kx passes through point (-2, 1),
⇒The point (-2, 1) is satisfying the equation of parabola y2 = 4kx
⇒ (1)2 = 4k (-2)
⇒ k =
Now, the length of the latus rectum = 4k
⇒The length of latus rectum = 4(
⇒The length of latus rectum =
The length of latus rectum can not be negative.
⇒The length of latus rectum =
Hence, if parabola y2 = 4kx passes through the point (-2, 1), then the length of the latus rectum is
Last updated on Jul 4, 2025
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