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From a point (h,k), h>((a 2 +b 2 )/a) from which only three distinct normals can be drawn to the hyperbola x 2 /a 2 – y 2 /b 2 =1, normals are drawn to curve ((x 2 /a 2 – y 2 /b 2 ) 2 -1)(x 2 /a 2 – y 2 /b 2 )=0. Find the sum of abscissa of foot of all such normals?

From a point (h,k), h>((a2+b2)/a) from which only three distinct normals can be drawn to the hyperbola x2/a2 – y2/b2=1, normals are drawn to curve ((x2/a2 – y2/b2)2-1)(x2/a2 – y2/b2)=0. Find the sum of abscissa of foot of all such normals?

Grade:12

2 Answers

Saurabh Koranglekar
askIITians Faculty 10341 Points
one year ago
((x2/a2– y2/b2)2-1) ??

Dear student


The curve is not defined in correct manner

Kindly repost the question with an image

Regards
Vikas TU
14149 Points
one year ago
Dear student 
Question is not clear 
Please attach an image, 
We will happy to  help you 
Good Luck
Cheers

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