Home
Class 12
MATHS
If (logx)/(b-c)=(logy)/(c-a)=(logz)/(a-b...

If `(logx)/(b-c)=(logy)/(c-a)=(logz)/(a-b)`,then the value of `x^(b+c).y^(c+a).z^(a+b)` is

A

1

B

2

C

0

D

`-1`

Text Solution

Verified by Experts

Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • SOLVED PAPER 04

    KCET PREVIOUS YEAR PAPERS|Exercise MATHEMATICS|60 Videos

Similar Questions

Explore conceptually related problems

If (Ina)/(b-c)=(Inb)/(c-a)=(Inc)/(a-b) , prove the following . a^a.b^b.c^c=1

If A=[(a,b,c),(b,c,a),(c,a,b)],abc=1,A^(T)A=I, then find the value of a^(3)+b^(3)+c^(3).

Knowledge Check

  • If (logx)/(a-b)=(logy)/(b-c)=(logz)/(c-a) then xyz=

    A
    0
    B
    1
    C
    `-1`
    D
    2

  • If a, b, c are three consecutive terms of an A.P. and x,y,z are three consecutive terms of a G.P., then the value of x^(b-c).y^(c-a).Z^(a-b) is

    A
    0
    B
    xyz
    C
    `-1`
    D
    1

  • If a,b,c are three consevutive terms of an AP and x,y,z are three consecutive terms of a GP, then the value of X^(b-c).Y^(c-a). Z^(a-b) is

    A
    1)0
    B
    2)xyz
    C
    3)-1
    D
    4)1

    • Similar Questions

    Explore conceptually related problems

    In the adjacent figure, find the value of x, y, z and a, b, c.

    If a, b, c are in HP., then a/(b+c),b/(c+a),c/(a+b) are in

    If the left hand side of the equation a(b-c)x^2+b(c-a) xy+c(a-b)y^2=0 is a perfect square , the value of {(log(a+c)+log(a-2b+c)^2)/log(a-c)}^2 , (a,b,cinR^+,agtc) is

    |(a,b,c),(b,c,a),(c,a,b)| =

    If (a+b)/(1-a b), b, (b+c)/(1-b c) are in A.P, then a, (1)/(b), c are in

    Home
    Profile