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Grade 12th passAnalytical Geometry

Question: The condition for existence of three real normals drawn to a parabola y2 = 4ax from a given point (h, k) are given below;
Condition-1: h > 2a and
Condition-2: 27ak2 h - 2a)3.
What is difference in the two conditions so obtained/ or which one is more correct?

Question image for Question: The condition for existence of three re
Profile image of gopal singh Negi
5 Years agoGrade 12th pass
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1 Answer

Profile image of Harshit Singh
5 Years ago
Dear Student
Difference in both methods is that in method 1 , condition for real roots has been applied while in second method,different method of putting points and checking their sign has been used along with condition of stationary point.

Thanks

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