Analytical Geometry> Question: The condition for existence of ...

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?**

gopal singh Negi , 4 Years ago

Grade 12th pass

1 Answers

Harshit Singh

Last Activity: 4 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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Analytical Geometry> Question: The condition for existence of ...

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?

gopal singh Negi , 4 Years ago

Harshit Singh

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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
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What is difference in the two conditions so obtained/ or which one is more correct?**