Home
Class 10
MATHS
If a, b, c gt 1, Delta = |(log(a)(abc),...

If ` a, b, c gt 1, Delta = |(log_(a)(abc),log_(a)b,log_(a)c),(log_(b)(abc),1,log_(b)c),(log_(c)(abc),log_(c)b,1)|` is

A

0

B

`log_(a) b + log_(b) c + log_(c) a `

C

` log_(abc) (a + b + c)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • DETERMINANTS

    CENGAGE|Exercise Puzziles and games |5 Videos
  • DETERMINANTS

    CENGAGE|Exercise Test Yourself (Level 3) (M.C.Q)|6 Videos
  • CIRCLES AND CYCLIC QUADRILATERALS

    CENGAGE|Exercise OLYMPIAD AND NTSE LEVEL EXERCISES|10 Videos
  • EQUATION OF A STRAIGHT LINE - I

    CENGAGE|Exercise WORKED EXAMPLES |11 Videos

Similar Questions

Explore conceptually related problems

If a,b,c gt1 then Delta=|(log_(a)(abc),log_(a)b,log_(a)c),(log_b(abc),1,log_(b)c),(log_(c)(abc),log_(c)b,1)| equals

a^(log_(b)c)=c^(log_(b)a)

(1+log_(c)a)log_(a)x*log_(b)c=log_(b)x log_(a)x

The value of (1)/(log_(a)abc)+(1)/(log_(b)abc)+(1)/(log_(c)abc)

Show that log_(b)a log_(c)b log_(a)c=1

(1)/(1+log_(b)a+log_(b)c)+(1)/(1+log_(c)a+log_(c)b)+(1)/(1+log_(a)b+log_(a)c)

Suppose a,b,cgt1 . Let Delta=|(loga,logb,logc),(log(2007a),log(2007b),log(2007c)),(log(2017a),log(2017b),log(2017c))| then Delta is equal to

if log_(a)x=(1)/(alpha),log_(b)x=(1)/(beta),log_(c)x=y then log_(abc)x

( Prove that )/(1+log_(b)a+log_(b)c)+(1)/(1+log_(c)a+log_(c)b)+(1)/(1+log_(a)b+log_(a)c)=1