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Eamcet Mathematics
Co - ordinate Geometry Parabola

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Q.

Equation of the parabola with its vertex at (1, 1) and focus (3, 1) is

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Correct choice: C

Explanation:

Given, vertex of parabola (h, k) ≡ (1,1) and its focus (a+h, k)≡(3, 1) or a+h=3 or a=2 We know that as the y-coordinates of vertex and focus are same, therefore axis of parabola is parallel to x-axis. Thus equation of the parabola is (y-k) = 4a(x-h) or (y-1)2 = 4×2(x-1) or (y-1)2 = 8(x-1).
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