JEE Advanced Mathematics question
The set of points on the axis of the parabola from which the 3 normals to the parabola are all real and different is
Answer: (D)
Solution
: vertex , axis , so points on the axis are .
A general point is . There , so the normal has slope :
y - 2t = -t(x + 2 - ⇒ tx + y = 2t - 2t + = .
It passes through $(k, 0
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