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E Very Short Answer Type R(a) Find the equation of the parabola witat the origin and satisfying the condition(i) Focus (2, 0); Directrix x = -2 (N.(ii) Focus (0, -3); Directrix y = 3. (N.th of latus-rectum​

Answer»

(a,0)=(12,0) Vertex :(h,k)=(0,0)Computing the DISTANCE P USING the general formula, we have:p=√(h−a)2+(y−0)2p=√(0−12)2+(0−0)2p=√(12)2p=12Here, we have:(y−k)2=4p(x−h)Substitute GIVEN values in the above formula and simplify it.(y−0)2=4⋅12(x−0)y2=2xThus, the equation of the PARABOLA is y2=2x.



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