Use app×
Join Bloom Tuition
One on One Online Tuition
JEE MAIN 2025 Foundation Course
NEET 2025 Foundation Course
CLASS 12 FOUNDATION COURSE
CLASS 10 FOUNDATION COURSE
CLASS 9 FOUNDATION COURSE
CLASS 8 FOUNDATION COURSE
0 votes
862 views
in Differential equations by (36.3k points)

If the length of the tangent at any point on the curve y = f(x) intercepted between the point and the x-axis is of length 1, find the equation of the curve. 

1 Answer

+1 vote
by (33.0k points)
selected by
 
Best answer

The equation of tangent at any point (x, y) to the curve y = f(x) is 

Y – y = f'(x)(X – x)

It meets the x-axis at (x – y(dx/dy), 0).

It is given that

AP = 1 

AP2 = 1

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.

...