Find a Cartesian equation for the hyperbola centred at (3,0) with x=1 as one equation of the directrix and the distance from the vertex to the directrix is equal to 3/2.

Q: (b) Find an equation for the parabola that has axis x = -1 and passes [3] through the points (4,5)…

A: Directrix is a line which together with a point called the focus defines the set of points that form…

Q: Write the equation of a hyperbola with center at the origin, passing though (±4,0) with no…

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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: What is the equation of the line tangent to the hyperbola = 1 at the point (V2a, b)? y = -a+b 26 V26…

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Q: graph and find: a. ends of the latus rectum b. equation of the directrix c. equation of the axis…

A: As we know that the standard form of the parabola is: y-k2=4px-h2 vertex: h,kfocal length: p Given:…

Q: The equation of the directrix of a parabola is y = 5 and its focus is at (4,-7). What is the length…

A: given:Equation of direction of a parabola  is y=5focus 4,-7To calculate: length of latus rectum

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: Find an equation of the hyperbola having foci at (2, -2) and (10, −2) and vertices at (5,-2) and (7,…

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Q: Make canonical equations for a hyperbola with an imaginary axis equal to 2 and focus F (-√13; 0)

A: One focus of the hyperbola is given.From the focus, the hyperbola is right -left facing…