If a, b, c, d are …
CBSE, JEE, NEET, CUET
Question Bank, Mock Tests, Exam Papers
NCERT Solutions, Sample Papers, Notes, Videos
Posted by Jatin Agrawal 3 years, 6 months ago
- 2 answers
⠀ 3 years, 6 months ago
b² = ac
c² = bd
ad = bc
For a²+b² , b²+c² , c²+d² in GP , we need to prove :
(b²+c²)² = (a²+b²)(c²+d²)
Solving LHS:
(b²+c²)²= b⁴ + c⁴ + 2b²c²
Solving RHS:
(a²+b²)(c²+d²) = a²c²+a²d²+b²c²+b²d²
= a²c² + b²d² + 2b²c² (because ad=bc)
= (ac)² + (bd)² + 2b²c²
= b⁴ + c⁴ + 2b²c² (because ac = b² , bd = c²)
Hence ,
a²+b² , b²+c² , c²+d² are in GP
Related Questions
Posted by Harshpreet Bedi 6 months ago
- 1 answers
Posted by Yaswant Sivan 8 months, 2 weeks ago
- 1 answers
Posted by Neha Kashyap 7 months, 1 week ago
- 0 answers
Posted by Padma Chorol 7 months, 4 weeks ago
- 0 answers
Posted by Vishnu V 6 months, 1 week ago
- 0 answers
Posted by Md Suhail 6 months, 1 week ago
- 1 answers
Posted by Kanishka Joshi 3 weeks, 1 day ago
- 0 answers
Posted by Priyanka Kushwaha 7 months ago
- 0 answers
myCBSEguide
Trusted by 1 Crore+ Students
Test Generator
Create papers online. It's FREE.
CUET Mock Tests
75,000+ questions to practice only on myCBSEguide app
⠀ 3 years, 6 months ago
1Thank You