The coordinates of a point common to a directrix and an asymptote of the hyperbola x?/25 – y?/16 = 1 are |

Q: 1 Find an equation of the hyperbola having foci at (3, –3 – /45) and (3, -3+/45) and asymptotes at y…

A: This question is related to conic section.

Q: Do I have to use the equations for the asymptotes of a hyperbola centered at the origin, y = tr or y…

A: The equations for the asymptotes of a hyperbola centered at the origin is y = ±bax or y = ± abx.…

Q: I. Find the equation in standard form of the specified hyperbola given the following conditions.

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Q: A hyperbola has its vertices at (0, -1) and (4, -1) and its foci at (-2, -1) and (6, -1). What are…

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Q: If AB is a double ordinate of the hyperbola *- y =1 such b? a* that AOAB (O is the origin) is an…

A: Introduction :

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: rach of the Following, Find arabola that sañsFies th- ) Circle Endpoints Of 2 Parabola : FDUS at (-…

A: We are entitled to solve one question at a time,(all the parts are different not interlinked) please…

Q: Find an equation of a hyperbola satisfying the given conditions. Vertices at (1, - 5) and (1,3);…

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

Q: /hich of the following is an endpoint of the latus rectum of the parabola = = 4(x – 1)2?

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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 eccentrici ty, foci, and directrices of the hyperbola y2 - x? = 4.

A: We have to find the eccentricity, foci and directrices of the given hyperbola y2-x2=4.

Q: Find the value of Y for the hyperbola defined by the equation y² – x² = 7 at the point (3, 4). dx2

A: The equation is y2-x2=7. First find the value of dydx as follows.…

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…

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Q: = 1 10 12 = 1 20 12 x2 = 1 100 36 =1 100 144

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Q: Consider the parabola whose vertex us at (2,-1) amd focus at (0,-1). What is the general form of the…

A: Given, The vertex of the parabola = 2, -1  Focus of the parabola = 0,-1 We have to write the general…

Q: 1 Find an equation of the hyperbola having foci at (3, – 3-/45) and (3, -3+/45) and asymptotes at y…

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Q: the chord joining points the A(x) and B(B) on the hyperbola -= 1 is a focal chord, then prove at…

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Q: Two stations that are 2 km apart receive a sound signal issued from a source located at point…

A: The distance between the point 0,-1 and the point P (x, y) is, d1=x2+y+12 The distance between the…

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

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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),…

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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: 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 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: From any point (N) on a hyperbola, the combined distances to the foci (f1 and f2) is equal to what?

A: A hyperbola is two curves that are like infinite bows. Looking at just one of the curves: any point…

Q: Find an equation of the parabola that satisfies the conditions. a) Focus (0, -) and directrix, y =…

A: Given  Focus (0 , -1/2)  Directrix ,y = 1/2   Equation of parabola with focus at (x0 , y0) and…

Q: find the equation of the given hyperbola Vertices (±3, 0) and asymptotes y = ±1/2 x

A: Since the vertices 3,0 and -3,0 have same y-coordinate, hence the hyperbola is horizontal transverse…

Q: Find the standard-form equation of the hyperbola centered at the origin which satisfies the given…

A: To find the standard-form of the hyperbola centered at the origin.

Q: Find the standard form equation for a hyperbola with vertices at (0, 3) and (0, – 3) and asymptote y…

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Q: 1. Which Is the corresponding equation of a hyperbola with co-vertices at (0, -6) and (0, 6) and a…

A: Given, The co-vertices of the hyperbola are 0, -6 and 0, 6  and transverse axis is 20 units long.…

Q: Find an equation of the parabola in standard form with focus at (3,0) and directrix x=-3

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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: The equation of the hyperbola whose foci are (V5, 1) and (-V5, 1) and one asymptote y –1= 2x is…

A: Given: Foci=(5,1),(-5,1) Asymptote=y-1=2x

Q: Find the eccentricity of a hyperbola whose transverse axis and conjugate axis are equal in length O…

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Q: The asymptote of the hyperbola given by x²/9- y²/4 = 1 has the equation?

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Q: 4. Determine whether a hyperbola exists if it has an equation of x2 - y2 + 6x +36y = 18.

A: we have to determine whether a hyperbola exists if it has an equation of  x2-y2+6x+36y=18

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: 21 Find the equation for the parabola that has its focus at the 2 and has 4 11 directrix at æ = 4…

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Q: What are the asymptotes of the hyperbola 9æ? – 4y? – 18æ + 24y + 9 = 0 O (y – 3) = +(x – 1) ㅇ (y-3)…

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Q: The hyperbola with vertices at (0, 3) and (0, – 3) and foci at (0, 5) and (0, – 5) has the equation…

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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: 1 in (r', y')-coordinates, if (iii) Find the equation for the hyperbola ry 0 = 1-

A: Find the equation of hyperbola in x'y' system

Q: From a point P on a rectangular hyper hyperbola at A and B. Show that the a constant, independent of…

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Q: If the normal at point P to the rectangular hyperbola x2 - y? = 4 meets the transversal and…

A: Given the equation of the hyperbola is  x2 − y2 = 4   Let P( 2 sec θ , 2 tan θ ) be any point on the…

Q: 1 Find an equation of the hyperbola having foci at (5-/45, 0) and (5+/45, 0) and asymptotes at y = 5…

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Q: 3. Find the equation of the following hyperbola after it has been rotated counterclockwise by : y? –…

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Q: Find the standard form equation for a hyperbola with vertices at (6, 0) and (- 6, 0) and asymptote y…

A: The vertices of the hyperbola is:  (6, 0)  and  (-6, 0) The asymptote of the hyperbola is:  y=13x

Q: Find a Cartesian equation for the hyperbola centred at (3,0) with x=1 as one equation of the…

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