Find the equation of sphere having its centre on the line 2x - 3y = 0 = 5y + 2z and passing through the points (0, -2, -4) and (2, -1, -1). %3D %3D

Q: Consider the paraboloid given by the equation z = x^2 + y^2. Find the coordinates of the vertex and…

A: A paraboloid is a quadric surface that has exactly one axis of symmetry and no center. The given…

Q: What is the equation of the parabola containing the points (0, 5), (–1,9), and (2, 3)? O y = r-z+5 O…

A: The standard form of a parabola is y=ax2+bx+c. The required parabola passes through the 3 points are…

Q: Identify the equation of a parabola with vertex(0,0)(0,0) and focus (0,2)

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Q: Find an equation for the hyperbola whose transverse axis is horizontal, with center at (1, -5) and…

A: Given problem:- Find an equation for the hyperbola whose transverse axis is horizontal, with center…

Q: Let 4x^2+3y^2+8x-6y=5 find the center and foci. Graph

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Q: Geometry Question

A: Question 1: A tangent drawn at a point on circle makes 90° angle. Apply Pythagorean theorem, 252= x2…