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Question

Question: If the focus of a parabola is (2, 3) and its latus rectum is 8 then locus of the vertex of the parab...

If the focus of a parabola is (2, 3) and its latus rectum is 8 then locus of the vertex of the parabola is:

A

(0, 3)

B

(x –2)2 + (y –3)2 = 4

C

(y –3)2 = 8 (x –2)

D

None of these

Answer

(x –2)2 + (y –3)2 = 4

Explanation

Solution

Vertex is always at a distance of 2 units from the focus.