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
46.6k views
in Mathematics by (40.5k points)

If m is the AM of two distinct real numbers l and n(l , n > 1) and G1, G2 and G3 are three geometric means between l and n, then G14 + 2G24 + G34 equals

(a) 4l2mn

(b) 4lm2n

(c) 4lmn2

(d) 4l2m2n2

1 Answer

+2 votes
by (44.9k points)
selected by
 
Best answer

Correct option (b) 4lm2n

Explanation:

Given, m is the AM of l and n

.'.  l + n = 2m ...(i)

and G1, G2, G3 are geometric means between l and n

.'.  l, G1, G2, G3, n are in GP.

Let r be the common ratio of this GP

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.

Categories

...