SaraNextGen.Com

Tangent is drawn at the point  on the curve , which intersects the -axis at . Now, again a tangent is drawn at  on the curve which intersect the -axis at  and the process is repeated  times, i.e., . If  form an arithmetic progression with common difference equal to  and curve passes through (0, 2). Now if curve passes through the point , then the value of  is



Question ID - 153326 | SaraNextGen Top Answer

Tangent is drawn at the point  on the curve , which intersects the -axis at . Now, again a tangent is drawn at  on the curve which intersect the -axis at  and the process is repeated  times, i.e., . If  form an arithmetic progression with common difference equal to  and curve passes through (0, 2). Now if curve passes through the point , then the value of  is

1 Answer
127 votes
Answer Key / Explanation : (8) -

(8)

Equation of tangent at of

      (1)

This tangent cuts the -axis so

 are in AP

 given

    Integrating both sides

 passes through (0,2)

127 votes


127