Find the equation, in standard form, of the parabola with the specified features. Find the equation of the circle whose center lies in the (common) axis of the parabolas y2 + 4x + 6y = -53 and y2 - 4x + 6y = 3, and which is tangent (touxhes at exactly one point) each of the two parabolas

Q: Find 2 parabolas that shares the same vertex and focus with the ellipse 9x² + 25y² = 225

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

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Q: Find the equation of a hyperbola whose asymptotes are perpendicular.

A: We have to find the equation of the hyperbola whose asymptotes are perpendicular. We know the…

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: Find the equation Gr the parabola with center Cor vertex) at Ca,-4) and facus at (2,0).

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Q: Arrange the parabolas represented by the equations according to the positions of their foci on the…

A: The standard form of a parabola is  (x – h)2 = a(y – k) where (h, k) is the vertex.

Q: derive the standard form of equation for a hyperbola?

A: A cartesian coordinate system contains two mutually perpendicular number lines named x axis and y…

Q: Ind the elements of the parabola and draw them: 1 Focus (1 1) end on straight side at (4 1) and (-2

A: In this question,concept of parabola is applied. Parabola A parabola is a curve equation in which a…

Q: If the directrix is horizontal, then the parabola opens (horizontally/vertically).

A: Given:We must find the missing word in the given sentence.So, Definition of parabola said:A parabola…