If |[x^n, x^(n+2), x^(n+3)], [y^n, y^(n+...

If `|[x^n, x^(n+2), x^(n+3)], [y^n, y^(n+2), y^(n+3)], [z^n, z^(n+2), z^(n+3)]|=(x-y)(y-z)(z-x)(1/x+1/y+1/z),` then `n` equals a. `1` b. `-1` c. `2` d. `-2`

A

1

B

`-1`

C

2

D

`-2`

Text Solution

Verified by Experts

The correct Answer is:

B

The degree of the determinant is `n + (n+2) + (n+3) = 3n +5` and the degree of the expression on RHS is 2.
`:. 3n + 5 = 2 rArr n = -1`

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