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The vertex of a parabola is the point (a,b) and latusrectum is of length `l`. If the axis of the parabola is along the positive direction of y-axis, then its equation is :A. `(x+a)^(2)=1/2(2 y-2b)`B. `(x-a)^(2)=1/2(2 y-2b)`C. `(x+a)^(2)=1/4(2 y-2b)`D. `(x-a)^(2)=1/8(2 y-2b)` |
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Answer» Correct Answer - B The equation of the referred to its vertex as the origin, axis along y-axis and latusrectum of length I is `x^(2)=Iy` Now, shifting the vertex at (a, b), the above equation reduces to `(x-a)^(2)=I(y-b)rArr(x-a)^(2)1/2(2y-ab)` |
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