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Question

Mathematics Question on Hyperbola

The vertices of the hyperbola are at (-5,-3) and (-5,-1) and the extremities of the conjugate axis are at (-7,-2) and (-3,-2), then the equation of the hyperbola is

A

(y2)21(x5)24=1\frac{(y-2)^2}{1}-\frac{(x-5)^2}{4}=1

B

(y+2)21(x+5)24=1\frac{(y+2)^2}{1}-\frac{(x+5)^2}{4}=1

C

(x+5)24(y+2)21=1\frac{(x+5)^2}{4}-\frac{(y+2)^2}{1}=1

D

(x5)24(y2)21=1\frac{(x-5)^2}{4}-\frac{(y-2)^2}{1}=1

Answer

(y+2)21(x+5)24=1\frac{(y+2)^2}{1}-\frac{(x+5)^2}{4}=1

Explanation

Solution

The correct option is (B) : (y+2)21(x+5)24=1\frac{(y+2)^2}{1}-\frac{(x+5)^2}{4}=1.