If the line x + my + am 2 = 0 touches the parabola y 2 = 4ax, then the point of contact is

Mathematics · JEE Advanced · NTA Exams — Co-ordinate Geometry

1. (am², –2am)
2. \(\left(\frac{\mathrm{a}}{\mathrm{~m}^{2}}, \frac{-2 \mathrm{a}}{\mathrm{~m}}\right)\)
3. (–am², –2am)
4. The line does not touch

Answer

(A) (am 2 , –2am)

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