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Which expression gives the length of the transverse axis of the hyperbola

shown below?
X
У
Focus
Focus
O AY
O B. X-y
O c. xt
O D. X+ y

Which expression gives the length of the transverse axis of the hyperbola shown below-example-1

1 Answer

5 votes

Answer:

Option (B)

Explanation:

From the picture attached,

F1 and F2 are the focii of the hyperbola.

Point P(x, y) is x units distant from F1 and y units distant from the other focus F2.

By the definition of a hyperbola,

"Difference between the distances of a point from the focii is always constant and equals to the measure of transverse axis."

Difference in the distances of point P from focii F1 and F2 = (x - y) units

This distance is equal to the length of the transverse axis = (x - y) units

Therefore, Option (B) will be the answer.

Which expression gives the length of the transverse axis of the hyperbola shown below-example-1
User David Pratt
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