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Jayati Sindhu Grade: 12
        The parabolas y2=$ax and x2=4by intersect orthogonally at point P(x1,y1) where x1,y1=0 is not possible then 

(A)b=a2
(B)b3=a2
(C)b=a3
(D)None of these.
7 years ago

Answers : (1)

Badiuddin askIITians.ismu Expert
147 Points
										

Dear Jayati


y2=4ax


x2=4by


 


if these curve intersec orthogonally ,then tangent at heir point of intersection will also intersect orthogonall


 slope of tangent at y2=4ax  is  m1 = 2a/y1 


 sinece y1=0 so tangent is y axis


 


slope of tangent at x2=4by  is  m2 = x1/2b 


 sinece x1=0 so tangent is x axis


so these two tangent is perpendicular


 so these curve always intersect for all value of a,b


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Badiuddin

7 years ago
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