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1 answer:
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Answer:
.
Step-by-step explanation:
If (α, β) are the coordinates of the center of the hyperbola, then its equation of the hyperbola is .
Now, the vertices of the hyperbola are given by (α ± a, β) ≡ (1,-3) and (-3,-3)
Hence, β = - 3 and α + a = 1 and α - a = -3
Now, solving those two equations of α and a we get,
2α = - 2, ⇒ α = -1 and
a = 1 - α = 2.
Now, eccentricity of the hyperbola is given by {Since
given}
Therefore, the equation of the given hyperbola will be
. (Answer)
Answer:
Step-by-step explanation:
The equation of a circle with center (h,k) and radius r is given by the formula;
Given (h,k)=(0,0) and r=4, we substitute the values to obtain;
The required equation is