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Coordinate Geometry
Parabola, Latus Rectum
jee_main_2026_april_2_shift_1
Grade 12

Question:

If the parabola y^2 = 4ax passes through the point (4, 4), then the length of the latus rectum is:
A. 2
B. 4
C. 8
D. 16

Step-by-Step Solution

Key Concept: Substitute the point to find 'a'.
Step 1: Substitute (4, 4): 4^2 = 4a(4) => 16 = 16a => a = 1. Step 2: Length of latus rectum = 4a = 4.
Correct Answer: B
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