Parabola
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VSMC - Parabola Parabola 1. Find the equation of a parabola whose focus is (5,2) & vertex is at (3,2). 2. Find the equation of a parabola whose focus is (2,1) & directrix is x=y-1. 3. Find the equation of a parabola whose focus is (1,-1) & vertex is at (2,1). 4. Find the equation of a parabola whose focus is (1,1) & tangent at the vertex is x+y=1. 5. An equilateral triangle is inscribed in the parabola with its axis vertical. The arc is 10 m high and 5 m wide at the base. How wide is 2 m from the vertex of parabola? 6. Find focus, vertex, axis, directrix, and length of latus rectum of parabola (a) y=x2-x (b) y2+4x+4y-3=0 (c) 2y2+3y=7x-9
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