Determine the equation of a conic section...(Hyperbola) Given: center (-9, 1) distance between displaystyle{F}{1}{quadtext{and}quad}{F}{2}={20} units distance between displaystyle{C}{V}{1}{quadtext{and}quad}{C}{V}{2}={4} units orientation = vertical

Emily-Jane Bray 2021-02-05 Answered
Determine the equation of a conic section...(Hyperbola) Given: center (-9, 1) distance between F1andF2=20 units
distance between CV1andCV2=4 units orientation = vertical
You can still ask an expert for help

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Solve your problem for the price of one coffee

  • Available 24/7
  • Math expert for every subject
  • Pay only if we can solve it
Ask Question

Expert Answer

dieseisB
Answered 2021-02-06 Author has 85 answers
Step 1
Given: center (-9, 1)
distance between F1andF2=20 units
distance between CV1andCV2=4 units
orientation = vertical
Step 2
Standard equation of hyperbola
(yk)2a2(xh)2b2=1
where (h,k) is centre and orientation is vertical
We know distance between F1andF2=2C=20
so C=10 unit and c2=a2+b2
here center is (-9, 1)
h=9andk=1
length of CV1CV2=2b
2b=4 unit
b=2 unit
Now from c2=a2+b2
(10)2=a2+(2)2
1004=a2
a=96
Step 3
So the equation of hyperbola is
(y1)296(x+9)24=1
where (-9, 1) is centre
Not exactly what you’re looking for?
Ask My Question
Jeffrey Jordon
Answered 2021-10-27 Author has 2027 answers

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Relevant Questions

asked 2021-08-08

To convert the given radical expression x123 to its rational exponent form and then simplify
image

asked 2022-04-23
Name or Adjective for Ellipse with very different (or very similar) scales
I am looking for an adjective or word to describe an ellipse (or ellipsoid, in more dims) where the length of the principal axes are of roughly the same order of magnitude O(a)=O(b) (including equal, i.e. a circle).
For instance:
- a=2,b=5 would be something like an "isometric" ellipse (or ellipsoid)
- a=2,b=50 would be something like an "asometric" ellipse (or ellipsoid) since they are of different orders of magnitude
asked 2020-11-10
Write the following equation in standard form and sketch its graph
9x2+72x64y2+128y+80=0
asked 2022-03-29
How to solve system of equations A1x2+B1xy+C1y2+D1x+E1y+F1=0 and A2x2+B2xy+C2y2+D2x+E2y+F2=0
How to express x through y?
asked 2021-02-15
Determine whether the statement If D0orE0,
then the graph of y2x2+Dx+Ey=0 is a hyperbolais true or false. If it is false, explain why or give an example that shows it is false.
asked 2022-05-01
Shape induced by the condition of angle bisector passing through a fixed point
Let A, B be two points on 2D plane. For any CAB, define the set S={P;;APC=CPB}.
What is the shape of S?
asked 2021-03-09

The eccentricities of conic sections with one focus at the origin and the directrix corresponding and sketch a graph:
e=2,
r=2secθ.