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IIT JEE APPLICATION OF DERIVATIVES In the curve `y=c e^(x/a)` , the sub-tangent is constant sub-...

329 views · Published 22 September 2017 · 6:25 · Indexed 21 September 2026

Channel: Doubtnut · 2017 · Education

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This is the Solution of question from Cengage Publication Math Book Calculus Chapter 6 APPLICATION OF DERIVATIVES written By G. Tewani. You can Find Solution of all math questions from CENGAGE BOOK on our app DOUBTNUT for free. Download Doubtnut from - https://doubtnut.app.link/CVbZqhOwxR

In the curve `y=c e^(x/a)`
, the
sub-tangent is constant
sub-normal varies as the square of the ordinate
tangent at `(x_1,y_1)`
on the curve intersects the
 x-axis at a distance of `(x_1-a)`
from the origin
equation of the normal at the point where the curve cuts `y-a xi s`
is `c y+a x=c^2`

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