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The equation of the parabola with its vertex at (1, 1) and focus at (3, 1) isA. `(x-3)^(2)=8(y-1)`B. `(y-1)^(2)=8(x-1)`C. `(y-1)^(2)=8(x-3)`D. `(x-1)^(2)=8(y-1)` |
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Answer» Correct Answer - B The vetex and focus of the parabola are (1, 1) and (3, 1) respectively. Clearly, axis is parallel to x-axis and Latusrectum = 4 (Distance between vertex and focus) `rArr" Latusrectum "=4xx2=8` Also, the vertex is on the left hand side of the focus. So, the parabola opens in the poitive direction of x-axis. Hence, the equation of the parabola is `(y-1)^(2)=8(x-1)` |
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