Question:
The length of the latus-rectum of the parabola whose focus is ((u²)/(2g)\sin2α,-(u²)/(2g)\cos2α) and directrix is y=(u²)/(2g), is:
The length of the latus-rectum of the parabola whose focus is ((u²)/(2g)\sin2α,-(u²)/(2g)\cos2α) and directrix is y=(u²)/(2g), is:
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Latus-rectum length of parabola = 4a.
Updated On: Mar 18, 2026
- (u²)/(g)cos²α
- (u²)/(g)\cos2α
- (2u²)/(g)cos² 2α
- (2u²)/(g)cos²α
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The Correct Option is D
Solution and Explanation
Step 1: Identify parabola parameter. Distance between focus and directrix gives focal length.
Step 2: Latus rectum. Length = 4a = (2u²)/(g)cos²α.
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