• In each case, find the hyperbola's standard-form equation from the information given. A symptotic : y = tx 1. Foci: (0,±√/2), 2. Foci: (0, 12), A symptotic: y = ¹ // + x

Q: Determine the orthogonal trajectories of the hyperbola 3xy= 5 at the point (2, 5/6). Sketch the…

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Q: -X 4 Find an equation in standard form for the hyperbola with vertices at (0, ±10) and asymptotes at…

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Q: Tangents are drawn from the point 3,2 to the ellipse x\power {2} +4y\power {2}=9. Find the equation…

A: Given: Tangents are drawn from the point (3,2) to the ellipse x2+4y2=9

Q: The parabola y=(x-)+1 has its fous at (2-3). 76 Determine and State of the the equation directiex.

A: Consider the equation of parabola: y=-116x-22+1To   solve,y-1=-116x-22x-22=-16y-1…

Q: On which curve does the perpendicular tangents drawn to the hyperbola-16 1 intersect?

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Q: On which curve does the perpendicular tangents drawn to the 1² hyperbola - 25 16 - 1 intersect?

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Q: 5 Find an equation of the hyperbola having foci at (-2, - 3-/29) and (-2, – 3+ /29) and asymptotes…

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Q: Cоmрute (x + y) dz, where is the portion of the parabola C y = 4 – x2 from -2 to 1+3i.

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Q: x2 Find equations of both tangent lines to the graph of the ellipse . = 1 that pass through the…

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Q: Graph the conic. Give the location of the foci Give the equations of the asymptotes (x^2/9) -…

A: Given conic is x29-y2=1   To Graph the conic, Give the location of the foci, Give the equations of…

Q: Aregular octagon

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Q: On which curve does the perpendicular tangents drawn to the hyperbola ²²² 1 25 16 = 1 intersect?

A: The given hyperbola is x225-y216=1 Rewrite the equation as x252-y242=1 Comparing with general…

Q: Write an equation of an hyperbola With a foci at (0, -4/5), (0, 4/5) and vertices at (0, -4) and (0,…

A: NOTE: Refresh your page if you can't see any equations. . given vertices are here midpoint of these…

Q: An object is observed travelling in a hyperbolic trajectory with the sun at one focus of the…

A: Given information:  1. Sun is one of the focus of hyperbola . 2. The Sun co-ordinate is 0,0.…

Q: A searchlight uses a parabolic mirror to cast a beam of light in parallel rays where the light bulb…

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Q: Find the acute angle between the asymptotes of the hyperbola 2x2 –y2 +4x -6y -15 = 0.

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Q: Which is the equation of a hyperbola with directrices at x = ±2 and foci at (4, 0) and (−4, 0)?

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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: V2x2+1 a) Find the asymptote of the following f(x): %3! 3x-5

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