The eccentricity of a hyperbola is equal to 1. Write true if the statement is correct. if the statement is wrong, Write the word or phrase that makes it incorrect.

Q: Find an equation of the hyperbola satisfying the indicated properties.

A: Given :              Focus = 26, 0              Asymptote lines:…

Q: real-life word problems with solutions and explanations regarding conic sections (circle, parabola,…

A:

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: For a hyperbola, the foci lie on a line called the_________

A: Given that, A statement, " For a hyperbola, the foci lie on a line called the ______ ."

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: Find an equation for the hyperbola that satisfies the given conditions. Foci: (+5, 0), vertices:…

A:

Q: suppose that the bulb of a flashlight is placed at the focus of its parabolic reflector. if the…

A:

Q: 3. GIVEN: HYPERBOLA WITH CENTER FOCUS VERTEK FIND: EQUATION

A:

Q: What is the eccentricity of a hyperbola?

A: The eccentricity for any conic section is defined by the formula, e=ca. Where c is the distance…

Q: The circle, the ellipse, the hyperbola, and the parabola are categories of _____ sections.

A: The intersection of a plane and a double napped cone is known as conic sections.If the set if…

Q: What is a hyperbola?

A: Consider the given "hyperbola"

Q: State whether the given equation defines an ellipsoid or hyperboloid, and if a hyperboloid, whether…

A: We know that standard position the equations of quadratic surfaces, Ellipsoid: x2a2+y2b2+z2c2=1…

Q: The eccentricity e of a hyperbola is defined as the number c/a,         where ais the distance of a…

A: Given :             The eccentricity of a hyperbola is defined as a number of ca

Q: 3- If the equation of the hyperbola is 4x? – 9y? = 36 Find the distance between the negative foci…

A:

Q: Suppose that one hyperbola has an eccentricity of 4 and a second hyperbola has an eccentricity of 4.…

A:

Q: State whether the given equation defines an ellipsoid or hyperboloid, and if a hyperboloid, whether…

A: Given, To determine whether the given equation defines an ellipsoid or hyperboloid, and if a…

Q: The transverse axis of a hyperbola is 8 and the distance between foci is 12. Find the length of the…

A: The length of the transverse axis of a hyperbola is 8. It is known that the length of transverse…

Q: If the asymptotes of the hyperbola a2 b. 1, 62 %3D intersect at right angle, then a = TRUE FALSE

A: Given: The statement "If the asymptotes of the hyperbola x2a2-y2b2=1, intersect at right angle, then…

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

A:

Q: 9. The conjugate axis of a hyperbola passes through the vertices of a hyperbola. Write true if the…

A:

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

A: The difference in the distance between a point (x, y) and the two fixed points is a positive…

Q: 2. A nuclear cooling tower cross section is a hyperbola having a diameter of 60 ft. at the center.…

A: Given diameter is 60 ft.Distance between two foci is 98 ft.We know the equation of hyperbola is…

Q: The latus rectum of a parabola is given by ?? = 2?2?. Write true if the statement is correct. if the…

A:

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

A: The circle, the ellipse, the hyperbola, and the parabola are categories of _____ sections.

Q: A hyperbola for which a = b is called an equilateralhyperbola. Find the eccentricity e of an…

A:

Q: 2 10 10 -2- -3- Identify a and b for the hyperbola with equation 1. 62

A:

Q: A. For each item, identify the part of the hyperbola that is being described by the statement. 4. It…

A: We will use properties of hyperbola.

Q: Which of the following statements is NOT TRUE about hyperbola? O The focus of a hyperbola is c units…

A: Topic = Conic section Correct option = no correct answer

Q: If the directrix is horizontal, then the parabola opens (horizontally/vertically).

A: Given:We must find the missing word in the given sentence.So, Definition of parabola said:A parabola…

Q: Introduction outline for hyperbola.

A: We have to find the introduction outline for hyperbola.

Q: A parabola can be drawn given a focus of (5,-10) and a directrix of y = 6. What can be said about…

A: Follow the procedure given below.

Q: What is a parabola in words? I know what they look like and how to make one but geometrically…

A: A parabola can be defined by couple of definitions.

Q: car is traveling at night along a highway shaped like parabola with its vertex at the origin (see…

A:

Q: he hyperbola with the equation

A:

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: What equation is used to find the foci of a hyperbola?

A: The hyperbola which is having transverse axis along x-axis is given by x-h2a2-y-k2b2=1 where h,k is…

Q: Identify the conic section as a parabola, ellipse, circle, or hyperbola, or if there is not enough…

A:

Q: Find an equation for the hyperbola that satisfies the given conditions Foci: (+5, 0), vertices: (±3,…

A: Given (5,0)=(h+c,k)    hence k = 0(-5,0)=(h-c,k)h+c=5h-c=-52h=0h=0Therefore (h,k)=(0,0)

Q: Give one word problem about parabola. Explain it.

A:

Q: The length of the latus rectum of a hyperbola is equal to 18 and the distance between the foci is…

A:

Q: Find the imaginary semi-axis of the hyperbola if the real semi-axis is 4 and the linear eccentricity…

A: The relation between the real semi-axis(a) and the imaginary semi-axis(b) is given by, e=1-b2a2

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: Find out whether the equation 9x2 + 126x - 16y2 - 96y + 153 = 0 represents a hyperbola. If it is a…

A: Since the coefficient of x2 is positive and y2 is negative. Therefore, it is a hyperbola 9x2 + 126x…

Q: Given the following information about the hyperbola, find both its standard and general form= FOCI:…

A:

Q: Which among the following statements is FALSE about a hyperbola? O The two fixed points are called…

A: For the given information

Q: The equation of the shown hyperbola is given by Fou Fou Select one: (x– 1)? _ (v+2}? , 9. 5 (y+2}? _…

A: Explanation of the answer is as follows

Q: What is the eccentricity of a hyperbola if the asymptotes are perpendicular?

A: Given:Asymptotes of the hyperbola are perpendicular.

Q: What is the geometric interpretation of b/a in the equation of a hyperbola in standard position?

A: