If (5,12) and (24,7) are the focii of a conic passing through the origin then the eccentricity of the conic is what?
62If (5,12) and (24,7) are the focii of a conic passing through the origin then the eccentricity of the conic is what?
This is doable by finding the distance between the two focii.
also we know that the conic passes through the origin.
wo can we do some rotation of axis etc?
Basically this part of the question is not in syllabus as far as I know.. (only the standard equations are in syllabus!)
But it is not bad to know for AIEEE exam and other exams.
1Well is there any other method than rotation?
This is all that I could infer:
ae=(√386)/2= 9.(something).
Focal distance of (0,0)= 13 & 25.
If we consider it a hyperbola, a=6. So, e= (√386)/12.
If we consider it an ellipse, a=19. So, e = (√386)/38.
What to do next?