C. Find the length of a, b, and c of the following hyperbolas. 1. y?-x2 = 1

Q: Find the coordinates of the foci for the following hyperbola. (x – 5)2 (y + 7)² = 1 16 25

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Q: Which of the following parabolas match the following graph below? O y--r+6x O y=+6x O y=-x+6 O…

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Q: Using the property of Re z and Im z to show that the hyperbola x2 – y? = 1 can be written as: z2 +…

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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: Let P and Q be distinct points on the parabola y = 2r such that a circle with PQ as diameter passes…

A: The given equation of parabola y2=2x Let P and Q be points on the parabola  Parametric coordinates…

Q: Find the coordinates of the foci for the following hyperbola. (x – 1)? (y + 1)? 1 64 16

A: I am going to solve the given problem by comparing it with the standard form of hyperbola whose…

Q: The area of the triangle formed by the tangent and the normal to the parabola y = 4ax both drawn at…

A: Given  the parabola y² = 4ax both drawn at the same end of the latus rectum and the axis of the…

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

A: (-a, 0) = (-2, 0) and  (a, 0) = (2, 0)   a = 2

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: Q3) Using the property of Re z and Im z to show that the hyperbola x2 – y? = 1 can be written as: z2…

A: Given that: Equation of hyperbola is-             x2-y2=1

Q: 2=2X Find the point that is close' to the pont'(,4) on the parabola y

A: Explained below

Q: 4.The parabola opens O A. upward O B. forward O C. backward O D. downward

A:

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

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Q: Find the equation of the Hyperbola whose Foci are at (7,9) and ( 35,9),and the length of its…

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Q: 5. If graphed, which of the following parabolas would lie entirely below the x-axis? (1) y=x² +5x+10…

A: We’ll answer the first question  . Please submit a new question specifying the one you’d like…

Q: 3 Which equation is for the hyperbola? O x = a (y – k)² + h (z-h)² (y-k)? = 1 O (z – h)° + (y – k)°…

A: LET'S FIND HYPERBOLA EQUATION,   ANSWER :-  OPTION B IS RIGHT   OPTION A IS PARABOLA. OPTION C IS…

Q: snip

A: Solution:Given       x24-y29=1To find a,b and Transverse axis.Formula:Standard form of…

Q: I. Find the equation in standard form of the specified hyperbola given the following conditions. 4.)…

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Q: What is the directrix of the parabola? (x – 4)? = 8 (y + 3) O x = -3 O y = -3 y = -5 x = -5

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Q: Which of the following is true about the hyperbola (y- 1)2 (x + 3)2 =1? 4. 9.

A: given hyperbola is y-124-x+329=1

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 shortest distance from the point (1,4) to a point on the parabola y =2 x (a) /2 (b) 1 (c) 2…

A: To determine the shortest distance between point and the parabola,

Q: Find the length of the arc of the semicubical parabola x  sq = ycu . betweenthe points (2,2 )  ; (4,…

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Q: 4 SKetch the parabola and label the foces , ventees and dineder 2. 4 -6y -2utl=0

A: To find- Vertex, focus and directrix of a given parabola.

Q: In te ypane, the gaph of the eqation x*+4y + 4x + 24y + 24 = 0 is a circle O an ellipse O an…

A: The solution is given as

Q: 1P If an automobile head light reflector is cut by a plane through its axis, the section is a…

A: Given : Diamete of the headlight is 250 mm.

Q: Which of the following is an endpoint of the latus rectum of the parabola with vertex (4,-2) and…

A: Topic= Parabola

Q: How far from the x axis is the focus of the hyperbola (x^2)- (2y^2) + 4x + 4y+ 4 = 0?

A: the given equation of hyperbola is  x2- 2y2+4x+ 4y + 4 =0 it is asked to find how far is focus of…

Q: Find the shortest distance +rom the point (0,5)to the ellipse 3 y? = x'

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Q: 2. Consider the equation r = 4 – y². (a) Find a parameterization of the segment of this parabola…

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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: if the point (a, b) is on the parabola y=6x^2-(5785/12) that is closest to the point (0,4) than a ?

A: Given, y=6x2-578512 suppose x,y any point closest to 0,4  D=x-02+y-42 put y in equation,…

Q: 4. Fit a second degree parabola y = a + bx + cx? to the following data 2. 8. 10 y 3.07 12.85 31.47…

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Q: Find the D.E. of the family of parabolas with axis parallel to the y – axis and with the distance…

A: Given, The family of parabolas with axis parallel to the y-axis and with the distance from focus to…

Q: x ds, where C is the portion of the parabola from (0,0) to (1, 1), followed by the line segment from…

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

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Q: Which of the following represents a parabola with vertex at (4, -2) and focus at (4, 4)? O A. (x -…

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Q: What are the foci and directrices of the following hyperbola?  36x^2 −49y^2 −100 = 0

A: We have to find the foci and directric of hyperbola

Q: Consider the hyperbola of equation: (y – k)2 (x - h)2 1 a? 62 whose foci are (3, -1) and (3, 17),…

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Q: 19. State whether the graph of the equation below is an ellipse, circle, parabola, or hyperbola. 2x…

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Q: Find the equation of Parabola and Graph with the following information: Center at (0, 0) Vertices…

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

A: We need to find the coordinates of the point common to a directrix and an asymptote of the hyperbola…

Q: Using the property of Re z and Im z to show that the hyperbola x2 – y? = 1 can be written as: z² +…

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

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Q: 10. Fit a second degree parabola to the following data. 3 4 Y 1090 1220 1390 1625 1915

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

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Q: The length of the latus rectum of a hyperbo is equal to 18 and the distance between the foci is 12.…

A: Here, given that the conjugate axis is parallel to the y-axis. So, the equation of the hyperbola is…

Q: How long is the latus rectum of the parabola y? + 3x – 12 = 0? O 12 O 6 4 O 3

A: The given parabola is: y2+3x-12=0

Q: Consider the following equation of a parabola.Find three points on the parabola. (y−8)^2=−7(x−5)

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Q: 3) Assume that the parabola y=x is translated so that its vertex is (5,-4). I If the parabola is…

A: Let's see a concept of stretch of function y=f(x). Say y = f(x) is parent function.