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The latus rectum of the parabola whose vertex is at (3, 2) and focus at (5, 2) is ...............

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The latus rectum of the parabola whose vertex is at (3, 2) and focus at (5, 2) is ...............

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The vertex is A = (3, 2) and the focus is S = (5, 2). Therefore, AS = 2 (which is equal to a) and AS is horizontal. Hence, the equation is of the form

(y - k)2 = 4a(x - k)

(y - 2)2 = 8(x - 3)

Thus, the latus rectum is 8.

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