Question:
The normal at the point \( (a t^2, 2 a t) \) on the parabola meets the parabola again at the point \( (a t^2, 2 a t) \). The equation of the normal is
The normal at the point \( (a t^2, 2 a t) \) on the parabola meets the parabola again at the point \( (a t^2, 2 a t) \). The equation of the normal is
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The equation of the normal to a parabola is given by the formula derived from the slope of the tangent and the point of tangency.
Updated On: Jan 12, 2026
- \( y = x + a t^2 + a t \)
- \( y = x - a t^2 + a t \)
- \( y = x + a t^2 + a t \)
- None of these
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The Correct Option is B
Solution and Explanation
The equation of the normal to the parabola is derived using standard formulas for the normal to a curve.
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