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If tangent tto the curve `x=at^(2),y=2at` is perpendicular to X-axis, then its pointt of contact isA. `(a,a)`B. `(0,a)`C. `(0,0)`D. `(a,0)` |
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Answer» Correct Answer - C Given `x = at^(2)` and `y = 2at` `therefore (dx)/(dt) = 2at` and `(dy)/(dt) = 2a` `therefore ` Slope of tangent, `((dy)/(dt)) = (2a)/(2at) = (1)/(t)` `therefore` Tangent is perpendicular to X - axis. `because " "(1)/(t) = oo` `rArr" " t = 0` `therefore` Point of contact is (0,0) |
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