Draw the hyperbola: Start by drawing the hyperbola with its two foci, (F1)and(F2), and the mirror (M) that is the convex side of one branch of the hyperbola. Draw the directrix: Draw the directrix of the hyperbola. The directrix is a line that is equidistant from the two foci, and it is located on the concave side of the hyperbola. Draw the incident ray: Draw a light ray directed at (F1)from some point on the hyperbola. This ray represents the path of light coming from a distant object and hitting the mirror.

Q: Explain why the dots in the Figure given below lie on a parabola. Where are the focus and directrix…

A: the figure in the diagram is a circle so It should be in the form of x2+y2=K Now y =c or some…

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Q: foci : (1,3), (1,–3), e = 0.5 Find the parabola, Ellipse and Hyperbola: 1. General equations form 2.…

A: solution is given below...

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Q: 7. FIND THE EQUATION FOR EACH CONIC: ELLIPSE, = (0,-4) VERTEX = (8,-4

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Q: Find the polar equation of an hyperbola with vertices (-30, pi/2) and (30/7, 3pi/2) and with one…

A: Solution Given:Vertices: V1 = (-30, pi/2) and V2 = (30/7, 3pi/2)Focus at the pole (r = 0) Step 1:…

Q: Need help identifying a and b for the hyperbola

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Q: VI. Find an equation of the hyperbola given the following conditions: 7. Center (2, -1), one focus…

A: Center of the hyperbola is 2, -1, one focus is 7, -1 and one vertex is 6, -1. Now center of the…

Q: Prove: A hyperbolic mirror (convex side of one branch of a hyperbola) has the property that a light…

A: A hyperbola is a type of conic section that is defined as the set of all points in a plane such that…

Q: Find the standard form of the equation of the hyperbola with the given characteristics vertices: (-…

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Q: find the eccentricity of the hyperbola. Then findand graph the hyperbola’s foci and directrices. x2…

A: Given that: The equation of the hyperbola x2 - y2 = 1.

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A: Let S be the focu and PM be the perpendicular distance of a point P(x,y) from the directrix , then…

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Q: 6. a. Give the equation of the conic shown below. Equation: b. Find the two focal points and plot…

A: The given figure is an ellipse. Consider the general ellipse:

Q: Please graph. HYPERBOLA: 1) The vertices are at (-2, 0) and (2, 0). The conjugate axis' length is…

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