CameraIcon

SearchIcon

MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Evaluation of a Determinant

If a 1, a 2, ...

Question

If a₁, a₂, a₃, . . . . . . , a_n . . . . . . .are in GP, then the value of the determinant

A

0

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

B

1

No worries! We‘ve got your back. Try BYJU‘S free classes today!

C

2

No worries! We‘ve got your back. Try BYJU‘S free classes today!

D

-2

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A
0

Let r be the common ratio of GP

∴ Given determinant,

Suggest Corrections

thumbs-up

0

Similar questions

a_{1}, a_{2}, a_{3} . . . a_{n} \in G P

then the value of the determinant

△ = ∣ ∣ ∣ ∣ \begin{matrix} log a_{n} & log a_{n + 1} & log a_{n + 2} log a_{n + 3} & log a_{n + 4} & log a_{n + 5} log a_{n + 6} & log a_{n + 7} & log a_{n + 8} \end{matrix} ∣ ∣ ∣ ∣

a_{1}, a_{2}, a_{3}, \dots, a_{n}, \dots

are in GP, then the value of the determinant

∣ ∣ ∣ ∣ \begin{matrix} log a_{n} & log a_{n + 1} & log a_{n + 2} log a_{n + 3} & log a_{n + 4} & log a_{n + 5} log a_{n + 6} & log a_{n + 7} & log a_{n + 8} \end{matrix} ∣ ∣ ∣ ∣

a_{1}, a_{2}, a_{3}, . . ., a_{n}, . . .

G P

then the determinant

Δ = ∣ ∣ ∣ ∣ \begin{matrix} l o g a_{n} & l o g a_{n + 1} & l o g a_{n + 2} l o g a_{n + 3} & l o g a_{n + 4} & l o g a_{n + 5} l o g a_{n + 6} & l o g a_{n + 7} & l o g a_{n + 8} \end{matrix} ∣ ∣ ∣ ∣

a_{1}, a_{2}, a_{3}, . . . . .

are in G.P. then the value of determinant

∣ ∣ ∣ ∣ \begin{matrix} log a_{n} & log a_{n + 1} & log a_{n + 2} log a_{n + 3} & log a_{n + 4} & log a_{n + 5} log a_{n + 6} & log a_{n + 7} & log a_{n + 8} \end{matrix} ∣ ∣ ∣ ∣

a_{1}, a_{2}, a_{3}, . . . a_{n,} . . .

are in G.P., then the determinant

Δ = ∣ ∣ ∣ ∣ \begin{matrix} log a_{n} & log a_{n + 1} & log a_{n + 2} log a_{n + 3} & log a_{n + 4} & log a_{n + 5} log a_{n + 6} & log a_{n + 7} & log a_{n + 8} \end{matrix} ∣ ∣ ∣ ∣

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Evaluation of Determinants

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Evaluation of a Determinant

Standard XII Mathematics

Join BYJU'S Learning Program

CrossIcon