If the normal at point P to the rectangular hyperbola x2 - y? = 4 meets the transversal and conjugate axes at A and B respectively and C is the center of the hyperbola, then O PA = PC O PA = PB O AB = 2PC O PB = PC

Q: What are the vertices and foci of the hyperbola (x - 9)2/25 - (y + 6)2/144 = 1 Show all work.

A: We have to find the vertices and foci of the given hyperbola.

Q: 2. Sketch the hyperbola y² - 2y - 4x² - 8x - 7 = 0. Find its centre, foci, eccentricity, asymptotes,…

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: A hyperbola in standard position has equation 36x2 −49y2 −100 = 0. Write down a parametrisation of…

A: The given equation of the hyperbola is: 36x2-49y2-100=0 Rewrite the equation:…

Q: The line through the two foci that also intersects a hyperbola at its two vertices is known as the…

A:

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

A:

Q: What must be true of the foci of a hyperbola? The foci must lie --Select--- of the hyperbola and…

A:

Q: One focus of a hyperbola lies at the point (0, -7) and the cor-responding directrix is the line y =…

A:

Q: Find the equation for a conic a. Parabola opening left with vertex (3, -1) and passing through (0,…

A: "Since you have asked multiple questions in a single request, we will be answering only the 1st…

Q: (y+1)? (x-2)2 2.Find the standard equation of the hyperbola whose standard equation is 9. %3D 16

A:

Q: Find the equations of the following conics and quadric surfaces relative to principal axes. 3x² +…

A: The answer provided below has been developed in a clear step by step manner

Q: Find the polar equation of an hyperbola with vertices (-30, pi/2) and (30/7, 3pi/2) and with one…

A: Solution Given:Vertices: V1 = (-30, pi/2) and V2 = (30/7, 3pi/2)Focus at the pole (r = 0) Step 1:…

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: After putting the equation into one of the two forms for the parabola, find the focus and directrix…

A: We have the equation of a parabola x2+6x-12y+33=0 We have to find focus and directrix The…

Q: What is the equation of the standard hyperbola with vertices at(0, ±a) and foci at (0, ±c)?

A: Given-  Hyperbola with vertices at (0, ±a) and foci at (0, ±c). To find- The standard equation of…

Q: Show that the ellipse 4x + 9y = 45 and the hyperbola x - 4y = 5 are orthogonal %3D

A:

Q: Find the standard equation of the hyperbola having vertices at (0,plus or minus 3) and foci at…

A: We know, if the vertices and foci are on the y-axis then the standard equation of the hyperbola is…

Q: variable circle through the origin and touching the hyperbola xy = c

A: