2 Write the equation of the hyperbola – 25 · x? + 16 · y² = 400 in standard form + = 1 %3D

Q: Write the equation of the hyperbola 162? – 4y² – 32z – 32y – 112 = Oin standard form (z – h) (y –…

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Q: Write the equation of the hyperbola 36x? – 25y? + 288x – 150y – 549 = 0 in standard form (x – h)?…

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Q: Determine the general equation of a parabola opening downwards whose vertex is at (3,-4) with a…

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Q: Describe the part of a hyperbola given by the equation.

A: Given equation is  x=23y2-36

Q: What is the standard form of the parabola, y + 2x + 10y + 9 = 0, given in conic form?

A: Do some rearrangement in the equation of given conic to convert it in standard form of equation

Q: Find a parametrisation of the hyperbola that is obtained by translating the hyperbola with equation…

A: Here we need to find the effect of translation on parametric equation of hyprabola.

Q: Write the equation of the hyperbola 4x2 – 25y? + 8x + 250y – 721 = 0 in standard form (x – h)? (y –…

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Q: 5, Rearrange the equation 4x² + 20x = 6y + 36y + 5 into the standard fo %3D hyperbola.

A: Given query is to find write the standard form of hyperbola.

Q: Write the equation of an ellipse centered at (1, -2) whose minor axis has length 6 and horizontal…

A: We can find the equation of ellipse using the given data as below.

Q: transform into standard form of hyperbola x^2-y^2+6x-4y-4=0

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Q: 10- y io -8 -6 4 2 2 4 6 8 10 +10+ Write the standard equation for the hyperbola graphed above.

A: From the given graph , find the equation of asymptotes (dotted red lines) we know that the center of…

Q: Which is the standard equation of the hyperbola centered at the origin, with a vertical transverse…

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Q: transform into standard form of hyperbola 4y^2-9x+16y+18x-29=0

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Q: Write the equation of the hyperbola 36 x- 288 · x 25 y + 300 y- 1224 = 0 in standard form Y - k 土 =…

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Q: Find the equation y=ax^2+bx+c of the parabola that passes through the points (-2, 0), (0, -14), (7,…

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Q: Convert the following equation for a hyperbola into standard form. 64x2 – 128x – 16y? – 64y – 1024 =…

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Q: Find the point on the hyperbola xy = 8 that is closest to the point (3,0)

A: Given: xy=8 so, y=8x now any point of given hyperbola can be written as x,8x so, let's that point on…

Q: Given hyperbola   (y + 1)2   −   (x − 2)2   = 1       9                4         what will its…

A: Given: An equation of the hyperbola, y+129-x-224=1.

Q: Find the equation of the tangent to the hyperbola x2 - 4y2 = 9 at (5, 2).

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Q: -10 10 -6 y? = 1. 62 Identify a and b for the hyperbola with equation - a = b = 6 3.

A: Given, The graph of the  hyperbola  The equation of the hyperbola is x2a2-y2b2=1  We have to find…

Q: Find b and c so that the parabola with equation y = 4x2 - bx - c has a vertex at (2 , 4)?

A: Using the vertex formula we find the x value of the vertex[formula: x value of vertex of Ax^2+Bx+C=0…

Q: The parabola y2 =-14x has it's focus at the point (b,0) where b is?

A: The standard equation of parabola for this condition is y2=-4ax here  Focus (-a, 0)   Now, we have…

Q: 8: Which one of the following conics is a parabola? 22 + y + 5 = 4æ B 222 + y? = 4x +4 4r – 9y? +…

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Q: Find the evolute of the parabola y=x2.

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Q: 22. The equation x2 + BX + y + Cy + D = 0 is: A. Hyperbola B. Parabola C. Ellipse

A: The standard form of equation of a conic section is Ax2+Bxy+Cy2+Dx+Ey+F=0 where A, B, C, D, E, F are…

Q: 2. Identify the conic as a hyperbola, parabola, or ellipse and find the foci (c) 4x = y? %3D

A: identify the conic and use the equation to find the focus,

Q: Write the equation of the hyperbola – 4. x2 + 9. y = 36 in standard form + 土 = 1 > Next Question

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Q: Next Question In the figure, the equation of the solid parabola is y=x² -2 and the equation of the…

A: In the given question, the concept of area under the curve is applied. Area under the curve A…

Q: 10. Draw the hyperbola with the equation: 3x? – 2y² + 6x – 8y = 6.

A: The given equation of hyperbola is: 3x2-2y2+6x-8y=6 Converting it into the normal form of hyperbolic…

Q: What is the equation of the parabola with vertex at (0,0) and focus (0, –4) in standard form?…

A: see below the calculation

Q: Write the equation into the standard for -4.x? + y? – 16x – 2y – 19 = 0. Locate hyperbola

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Q: ind the equation y=ax^2+bx+c of the parabola that passes through (-2,0),(0,14),(7,0

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Q: Draw the hyperbola with the equation: 3x? – 2y² + 6x – 8y = 6. %3D

A: Given: 3x2−2y2+6x−8y=6

Q: 6. x2 + y² + 4x - 10y - 52 = 0 O Cirde O Ellipse O Hyperbola O Parabola

A: Given: The equation of the conic is  x2+y2+4x-10y-52=0   To determine: The type of the conic from…

Q: Find an equation of the parabola deseribed. Focus at (5, 0); vertex at (0, 0) O y = 20x2 O x = 20y O…

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Q: Fid the equation of the tanget to the parabola  x2 - 22x + 24y +169 = 0 at  the point whose focus…

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Q: What is the equation of the given parabola? y 4 -5-4-3-2 1 2 3 4 5 A y= 3x² 6x +3 I23 45

A: Here zeros form equation y=a(x-p)(x-q) p,q are zeros of equation

Q: . The general form of equation of an ellipse is given by Ax + Cy + Dx + Ey +F = 0, where A and C are…

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Q: Write the equation of the hyperbola 9x² – 4y? – 54x + 32y – 19 = 0 in standard form (x – h)? (y –…

A: Write the equation of the hyperbola  9x2 - 4y2 -54x +32 y  -19 =0 In the standard form  (x-h)2 /a2 -…

Q: Identify the type of conic section from the equation: y^2 - 4y - x^2 6x =12

A: We have been given the equation  y2-4y-x2+6x=12

Q: Which are the foci for the hyperbola modeled by the equation (Y-32 (x-1)² _ -1? 36 13

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Q: By differentiating implicitly, find the slope of the hyperboloid 22 + y? – 22 = 1 in the x-direction…

A: We have to find slope of the hyperboloid x2+y2-z2=1 in the x-direction at the points (a) 1,2,2 (b)…

Q: Find an equation in standard form for the hyperbola with foci at(+8, 0), transverse axis with length…

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Q: Write the equation of the hyperbola 25z – 16y + 150z + 64y- 239 = 0 in standard form %3D (2 - h) (y-…

A: Equation of hyperbola 25x2+ 150x-16y2+64y-239= 0 25( x2+6x)-16(y2-4y)= 239…

Q: 2. Which equation represents a parabola with vertex (4,4) and directrix y = 2? Oy=2x² - 4x + 4…

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Q: Find the equation of the parabola y = ax^2 + bx +c that passes through the points (-1,-4) (1,4), and…

A: topic  -  parabola

Q: Write the equation of the hyperbola 9a- 16y² – 18x + 160y – 535 = 0 in standard form (x – h) (y– k)°…

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Q: 3. Write the equation into the standard form of the equation of the hyperbola: x² – 4xy + y² + 8x +…

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