a) Detemine the equation of the hyperbola having the equations of asymptote y = 3D7x, conjugate axis 3 and transverse axis horizontal. Sketch the hyperbola. b) Sketch the graph of y = in the interval -3 sx S7. x-2

Q: Find an equation of a hyperbola in the form x2 /M - y2 /N = 1 M,N > 0 if the origin is at the…

A: Solution is given below:

Q: Find the equation of the hyperbola in standard form centered at the origin with a vertical…

A:

Q: Find an equation for the hyperbola that has its center at the origin and satisfies the given…

A: A hyperbola has two curves that do not touch each other.  A hyperbola is a curve whose equation is…

Q: 19. Find the standard form of the equation of the hyperbola satisfying the conditions below. Foci:…

A: We have to find the standard form of the equation of the hyperbola satisfying the conditions below.…

Q: ind of an equation of a hyperbola in the form x2 / M

A: Given that:                               Centre of the hyperbola = Origin=(0, 0)Length of…

Q: Find an equation of the hyperbola that has foci at (0, -6) and (0, 6), and asymptotes y=x and y=-x.…

A: We will solve the problem

Q: Find the standard form of the equation of the hyperbola with the given characteristics. Foci: (±10,…

A:

Q: 2. The points where a hyperbola intersects the line through the foci are called the

A:

Q: Find the standard form of the equation of the hyperbola with the given characteristics and center at…

A: equation of hyperbola if vertices (0, plus minus a) is y2/a2 + x2/b2 = 1

Q: Sketch the hyperbola 9x² – 4y² – 18x + 8y – 31 = 0, and label the center, foci and vertices. Find…

A: Given : 9x2-4y2-18x+8y-31=0

Q: Find the standard form of the equation of the hyperbola with the given characteristics Vertices:…

A:

Q: Rewrite the equation of the hyperbola 9x? – y? – 36x – 6y + 18 = 0 in standard form and identify - -…

A:

Q: Find the standard form equation for a hyperbola with vertices at (0,20) and (0,-20) and asymptote…

A:

Q: Find an equation for the hyperbola that has its center at the origin and satisfies the given…

A: We have, a hyperbola satisfies the given conditions as vertical transverse axis of length 10,…

Q: Find the standard form of the equation of the hyperbola with the given characteristicS Foci: (0,…

A: The hyperbola has,  Foci: 0,±9; asymptotes: y=±3x

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: Determine the standard form of equation of a hyperbola with foci at (-1,0), (1,0) and one of its…

A:

Q: Find an equation for the hyperbola that satisfies the given conditions. Vertices: (+1, 0),…

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: Find the center, foci, vertices, and eccentricity of the hyperbola                         ( y +…

A: y+32225-x-5264=1⇒y--32152-x-5282=1 Now comparing with y-k2a2-x-h2b2=1, we get k=-3, h=5, a=15 &…

Q: Find the center, foci, vertices, and eccentricity of the hyperbola                            x2/25…

A: Known fact: For the equation of the hyperbola of the form x2a2-y2b2=1, Center is 0,0 Vertices are…

Q: Find an equation for the hyperbola that satisfies the given conditions. Vertices: (±1, 0),…

A:

Q: Find an equation for the hyperbola that has its center at the origin and satisfies the given…

A: Given: Foci F0,±5, conjugate axis of length 4 For given data transverse axis is on y-axis and…

Q: Determine the equation of a hyperbola with foci (0, c) and with asymptotes perpendicular to each…

A: if(y-k)2a2-(x-h)2b2=1then,center:(h,k)foci:(h,k±c)slope of the asymptotes:±ab and,a2+b2=c2

Q: If PQ is a double ordinate of the hyperbola a2 1 such that AOPQ 62 is equilateral, O being the…

A: Let the hyperbola be x2a2-y2b2=1 and any double ordinate PQ be asecθ, btanθ , asecθ, -btanθ  and O…

Q: Find the standard form of the equation of the hyperbola with the given characteristics. Vertices:…

A: We will find the equation of the hyperbola when vertices and asymptotes are given.Below find the…

Q: Find an equation of a hyperbola satisfying the given conditions. Vertices at ​(1​,−7​) and ​(1​,1​);…

A: Given that the Vertices at ​(1​,−7​) and ​(1​,1​). So the center will be at the midpoint Center=…

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

A:

Q: Find the center, foci, and vertices of the hyperbola 9x^2-y^2-36x-6y+18=0 and sketch its graph…

A:

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

A: solve the following

Q: Find the standard form of the equation of the hyperbola with the given characteristics. Foci: (±10,…

A:

Q: What is the equation of the standard hyperbola with vertices at(0, ±a) and foci at (0, ±c)?

A: Given-  Hyperbola with vertices at (0, ±a) and foci at (0, ±c). To find- The standard equation of…

Q: Sketch the graph and find the foci of the given hyperbola a. x2-y2=1 b. y2-x2=1

A:

Q: Find the standard equation of the hyperbola that satisfies the conditions.

A:

Q: Show that the equation x2 - 4y2 + 2x + 8y - 7 = 0 represents a hyperbola. Find its center,…

A: Given: x2-4y2+2x+8y-7=0 first we converting given equation in standard form so,…

Q: Find the standard form of the equation of the hyperbola satisfying the given conditions: Endpoints…

A: Since, endpoints of trnsverse axis lie on y-axis,so transverse axis of hyperbola is y-axis, so the…

Q: Find the equation of a Hyperbola which has the Vertices at (+2, 0) and Foci at (+4, 0). Form the…

A:

Q: Find an equation for the hyperbola that satisfies the given conditions. Vertices: (+1, 0),…

A: Consider the general form for the asymptotes is, y=k±bax-h Here, the center is (h,k)

Q: 3. Find the standard equation for the hyperbola that has foci (0,±5) and vertices (0,±3).

A:

Q: Find an equation for the hyperbola that has vertices  (±3,0) and asymptotes  y=±5x.

A: Given query is to find the equation of the Hyperbola.

Q: 19. What is the equation of the horizontal asymptote for this hyperbola ? y = (6x + 8) / (3x - 2) *

A:

Q: Find an equation for the hyperbola that satisfies the given conditions. Vertices: (0, 16),…

A:

Q: Find the equation of the hyperbola satisfying the given conditions. Vertices at (0,4) and (0,-4);…

A: The hyperbola satisfies the condition,vetices at 0,4 and 0,-4Foci at 0,5 and 0,-5

Q: Find the standard form equation for a hyperbola with vertices at (8, 0) and ( – 8, 0) and asymptote…

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

Q: Find the standard form of the equation of the hyperbola with the given characteristics. Foci:  (−1,…

A:

Q: Select the conic section represented by the equation. 2x + 5y - 7 = 0 circle ellipse point line…

A:

Q: The equation of the hyperbola whose foci are (0, 6) and (0,-4) and and one asym y-1= 2z is Select…

A:

Q: Find an equation for the hyperbola that satisfies the given conditions. Foci: (0, +9), asymptotes: =…

A: Given foci (0,±9) , asymptotes y=±12x let’s find an equation of hyperbola

Q: Find the standard form of the equation of the hyperbola with the given characteristics. Vertices:…

A: