Home
Class 11
MATHS
The value of n for which (x^(n+1)+y^(n...

The value of n for which ` (x^(n+1)+y^(n+1))/(x^(n)+y^(n))` is the geometric mean of x nd y is

A

`n=-1/2`

B

`n=1/2`

C

`n=1`

D

`n=-1`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Similar Questions

Explore conceptually related problems

The geometric mean of (x _(1) , x _(2), x _(3), ... X _(n)) is X and the geometric mean of (y _(1), y _(2), y _(3),... Y _(n)) is Y. Which of the following is/are correct ? 1. The geometric mean of (x _(1) y _(1), x _(2) y _(2) . x _(3) y _(3), ... x _(n) y _(n)) is XY. 2. The geometric mean of ((x _(1))/( y _(1)) , ( x _(2))/( y _(2)), (x _(3))/( y _(3)) , ... (x _(n))/( y _(n))) is (X)/(Y). Select the correct answer using the code given below:

(x+y)^(n) + (x-y)^(n) is equal to

If x^(n) y^(n) =(x+y) ^(n),then (dy)/(dx)=

Let G_(1),G_(2) be the geometric means of two series x_(1),x_(2),...,x_(n);y_(1),y_(2),...,y_(n). If G is the geometric mean of (x_(i))/(y_(i)),i=1,2,...n, then G is equal to

If x ^(n) y^(n) =( x+y ) ^(n),then (dy)/(dx)=

The geometric mean of the observation x_(1),x_(2),x_(3),……..,_(n) is G_(1) , The geometric mean of the observation y_(1),y_(2),y_(3),…..y_(n) is G_(2) . The geometric mean of observations (x_(1))/(y_(1)),(x_(2))/(y_(2)),(x_(3))/(y_(3)),……(x_(n))/(y_(n)) us