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If the parabolas y^2=4a(x-b) and x^2=4a(y-c) touch each other at right angles ,the locus of their point of contact is?

If the parabolas y^2=4a(x-b) and x^2=4a(y-c) touch each other at right angles ,the locus of their point of contact is?

Grade:12th pass

1 Answers

Arun
25768 Points
3 years ago
Dear Utkarsh
 
If both the parabolas are at right angle, then
product of slopes will be -1.
 
Use this property and you will surely get the locus.
 
Regards
Arun (askIITians forum expert)
 

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