NDA 2022
- Exam
- NDA
- Year
- 2022
- Subject
- Mathematics
- Chapter
- Sequences and Series
NDA 2022 · Mathematics · Sequences and Series
If a, b, c are in GP where a > 0, b > 0, c > 0 , then which of the...
If are in GP where , then which of the following are correct?
1. are in GP
2. are in GP
3. are in GP
Select the correct answer using the code given below :
Options
- A1 and 2 only
- B2 and 3 only
- C1 and 3 only
- D1, 2 and 3
Correct answer
D. 1, 2 and 3
Step-by-step solution
\left(\frac{1}{b}\right)^2=\frac{1}{a} \times \frac{1}{c}\frac{1}{a}, \frac{1}{b},\frac{1}{c}b=\sqrt{a c} \Rightarrow(\sqrt{b})^2=\sqrt{a} \sqrt{b}[\because a \gt 0, b \gt 0 and c \gt 0]\therefore \quad \sqrt{a}, \sqrt{b}, \sqrt{c}$ are in G.P.