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
28.1k views
in Mathematics by (54.8k points)

Let ƒ be any function continuous on [a, b] and twice differentiable on (a, b). If for all x ∈ (a, b), ƒ'(x) > 0 and ƒ''(x) < 0, then for any c ∈ (a, b), (f(c) - f(a))/(f(b) - f(c)) is greater than:

(1) (b + a)/(b -a)

(2) (b - c)/(c - a)

(3) (c - a)/(b - c)

(4) 1

2 Answers

+2 votes
by (52.5k points)
selected by
 
Best answer

Answer is (3) (c - a)/(b - c)

+2 votes
by (58.3k points)

Answer is (3) (c - a)/(b - c)

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.

...