1. The circle, the ellipse, the hyperbola, and the parabola are categories of sections.

Q: .what does the axis of symmetry do to the parabola?

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Q: Graph the parabola from Part 1. 22--20y

A: Given:        x2 = -2y This is the parabola with vertex at (h,k) = (0,0), and focal length |p| = 5…

Q: 3. The line segment between the vertices of a hyperbola is called the axis.

A: Given that,

Q: 3. identify the kind of conic section being illustrated (circle, parabola, ellipse, hyperbola) by…

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Q: Draw the parabola's axis of symmetry. 6+ 5+ 3+ 2+ 1+ -7 -65 -4 -3 -2 +>ェ 3 4 56 7 -4+ -5

A: Axis of symmetry

Q: If the center of a hyperbola with a horizontal transverse axis is (2, 3) and a² = 25, then the…

A: Given Center of horizontal tranverse axis of hyperbola=(2,3)That is (h,k)=(2,3)And a2=25To find co-…

Q: 1. What is the vertex of the parabola y = (x + 6)² - 9? O(-6,9) (6,9) O (-6,-9) (6,-9)

A:

Q: 5. What point is the vertex of the parabola?

A: The vertex of a parabola is the point where the parabola crosses its axis of symmetry.   If the…

Q: What is the axis of symmetry of the parabola y= 1/4(x-1)^2 -3 1.(1,3) 2.(-1,-3) 3.(1/4,-3)…

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Q: Explain why it is not possible for a hyperbola to have foci at (0, -2) and (0, 2) and vertices at…

A: The standard form of the equation of a hyperbola with center (0,0) and transverse axis on the y-axis…

Q: Suppose that point A(-2, -1) lies on a parabola with horizontal principal axis and whose vertex is…

A: Suppose that point A(-2, -1) lies on a parabola with horizontal principal axis and whose vertex is…

Q: How is a hyperbola different from a parabola?

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Q: 7, All circles of radius 5, with their centres on the y-axis. 8. All parabolas with x-axis as the…

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Q: 80. Give an example of the reflective property of a parabola.

A: We have to give some examples of the reflective property of a parabola.

Q: 17. What is the center of the hyperbola whose equation is [(x+3)2 / 9] - [(y-3)2 / 16] = 1?

A: The given equation of the hyperbola is of the type [(x-h)²/a²]-[(y-k)²/b²]=1.

Q: Any point on the parabola can be labeled (x, y), as shown. 4 3 2 (*, y) ¢ -6 -5 -4 -3 2 - 1 2 3 4 5…

A: According to figure equation of parabola in standered form X2=4bYnew equation of…

Q: Find the length of a,b,c of the given hyperbola: x^2/4 - y^2/5=1

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Q: Identify and sketch the graph of the following SURFACES. 2 = √9-y²

A: We have z=9-y2 Since z is square root of 9-y2 so z is positive always. We can write z=9-y2 as:…

Q: One 49 is 36 1 ♦ of the hyperbola

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Q: It is true that the vertex is halfway between tje focus and the directrix on the principal axis

A: Yes, the vertex is halfway between focus and the directrix on the principle axis

Q: entify the vertex, axis of symmetry, and direction of the opening of the parabola y=x^2−4x+6? A…

A: To determine the vertex, axis of symmetry, and direction of the opening of the below parabola.…

Q: 10. What is the radius of the circle that has an area equal to that of the ellipse+¹=1 64

A: Follow the procedure given below.

Q: What is the distance between the foci of the hyperbola with foci at (2-√13,3)and (2+√13, 3) and…

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Q: In te ypane, the gaph of the eqation x*+4y + 4x + 24y + 24 = 0 is a circle O an ellipse O an…

A: The solution is given as

Q: A hyperbola is the set of points in a plane, the difference of whose distances from two fixed points…

A: Given : A hyperbola is the set of points in a plane the difference of whose distances from two fixed…

Q: If the coordinates of the ends of a focal chord of the parabola y²=4ax and (x,,y,) and (x,.y;) then…

A: Consider the given parabola y2=4ax Suppose Ax1 , y1  and  Bx2 , y2 be the ends of the focal chord of…

Q: Which quadric surfaces have both hyperbolas and parabolas as traces?

A: Consider the given: The intersection of a three-dimensional surface and a plane is called a trace.…

Q: A satellite dish has a shape called a paraboloid, where each cross-section is a parabola. Since…

A: A satellite  dish is given which has a paraboloid shape.

Q: The distance from the center to a vertex of the hyperbola 4 16 is

A:

Q: . If the center of the hyperbola is (2, 1) and c = 5, then the coordinates of the foci…

A: The general equation of conic section is Ax2 + Bxy + Cy2 + Dx + Ey + F = 0. The standard form of the…

Q: How many arrangements can be made using 4 letters of the word HYPERBOLAS if no letter is to be used…

A: There are total 10 letters in the word HYPERBOLAS. Here arrangement is being considered. So we will…

Q: How many arrangements can be made using 2 letters of the word HYPERBOLAS if no letter is to be used…

A: To find the number of arrangements which can be made using two letters of the word HYPERBOLAS if…

Q: 13.2y – x = 4

A:

Q: How many distinguishable permutations are possible with all the letters of the word ELLIPSES?

A: The  complete solution is in given below

Q: Find the length of the latus rectum of an ellipse if its vertices are (1,−6),(1,2) and co-vertices…

A: Find the length of the latus rectum of an ellipse if its vertices are (1,−6),(1,2) and co-vertices…

Q: Define Hyperbolas?

A: A hyperbola is the set of all points in a plane, the difference of whose distances from two fixed…

Q: 2. A parabola with axis parallel to the x-axis and passing through (5,4), (11, –2) and (21, –4)

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 5. Find the number of faces in the planar graph given below. d.

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Q: Determine the equation of the circle graphed below. 12 11 10 8. ((о, 5) 4 (-3, 2). 2 1 -12-11-10 -9…

A: Given figure is  where center of circle is (h, k)=(-3, 2).

Q: If the center of a hyperbola with a horizontal transverse axis is (2, 3) and a2 = 25, then the…

A: Center of the hyperbola is, h, k=2, 3⇒h=2  &  k=3&a2=25⇒a=5 Therefore vertices are, h-a, k…

Q: (a) Find and identify the traces of the quadratic surface x2 +y2 -z2 =1 and explain why the graph…

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Q: Examine the two graphs below to consider the ways a line could intersect the parabola. ty 8. ty 8 4…

A: We have to check weather the given graph will intersect or not.

Q: Show that the envelope of the family of circles whose diameters are the double ordinates of the…

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Q: A cable durpended between two Do po has a Jag of 1. 20 meters apart a form of a parabola, find its…

A: The distance between the pole = 20 m and the sag of 112 m=32 m. We have to find the equation of the…

Q: What is the length of the transverse axis of the hyperbola whose foci are (0, -5) and (0,5) , and…

A: The foci of Hyperbola are:   (0, -5)  and  (0, 5). Length of transverse axis of Hyperbola is:  2a…

Q: Show that the product of the distances of any point if a hyperbola from it's asymptotes is constant.

A:

Q: Which of the following is a net of the above cuboid?

A: Net of the cuboid is in option (A)

Q: Introduction outline about three iconic circles (ellipse, parabola, hyperbola)

A: To give an introduction about parabola, ellipse and hyperbola.