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

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: What is the distance between the vertices of the hyperbola with one focus at (-1, 4) and co-vertices…

A:

Q: 7) What is the equation of the parabola below? (-1,3) (4,0) -5 A) y= -(x+ 1)2 + 3 B) y 1)2 - 3 C)…

A:

Q: Which of the following statements are TRUE? Select all that apply. The ratio test is often used to…

A: We have to identify which of the following statement is correct

Q: 7) Determine the shape of the I point parabola with focus F(2,5/2) and directrix line y=7/2. *

A:

Q: Explain why it is not possible for a hyperbola to have foci at (0, -2) and (0, 2) and vertices at…

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

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: A ship's deck has the shape of two' intersecting paraboles! A is area in fect square 23 13x2 2. -30…

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Q: 5) Find the vertex and axis of symmetry of the parabola with focus F(7/2,3) and directrix line…

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Q: (x – 3)2 - 2)2 = 1 36 64 A) C: (3, 2); F: (2, -5), (2, 11); A: y = 16 y = - 16 X - 1 B C: (3, 2); F:…

A: We have to find the centre, foci and asymptotes for the given hyperbola.

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

A:

Q: The vertex of the parabola with focus (-2,-4) and directrix y - 4 is o (1,-4) 0 (-2,1) O (0,-4) O…

A: Given,drectrix of parabola is y=4,And focus is at (-2,-4)It is clear that parabola is open down,and…

Q: What is the equation of a parabola in standard form with vertex V(3, – 3) and focus F(3, 2)? A (x-…

A: NOTE: Refresh your page if you can't see any equations. . the vertex is at  and the focus is at

Q: create a unique parabola for the pattern  fx=(x-a)(x-b), integers cannot be one or zero for a and b…

A: We have to create a unique parabola for the pattern  f(x)=(x-a)(x-b).

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

A:

Q: How are the conics described in terms of a fixed point and a fixed line?

A: We need to describe the definition of conics in terms of a fixed point and fixed line.

Q: What are the coordinates of the vertices of the hyperbola whose equation is given by 4y2 – x² = 4? A…

A: The given hyperbola equation,        4y2-x2=4

Q: b) Sketch the parabola with the graph cuts the x-axis at (5,0) and (-5,0), the directrix line y = 4…

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Q: Determine whether the statement"Every tangent line to a hyperbola intersects the hyperbola only at…

A: The tangent line at a particular point is unique as there are infinitely many points in the curve.

Q: =D1 4 = 1{-5<x<5}

A: Given equation is The equation of given hyperbola is horizontal hyperbola

Q: What is the equation of the parabola that opens to the right and with vertex at (4,-2) and a latus…

A: Prabola

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

A: Topic= Parabola

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

A:

Q: graph of each hy

A: Here we have to graph the (x+1)29-(y-2)21=1 ..............................(1)…

Q: Identify the focus and directrix of the parabola: y = -4(x - 2)² - 3. f: (1, -4), d: y = 2 f: (2,…

A: If the equation of parabola is of the form x-h2=4py-k(i)  if p&gt;0  then focus is h,k+p  and…

Q: 4. Use truth tables to establish each of the following logical equivalencies deal- ing with…

A: