Home
Class 11
MATHS
Prove that if a,b,c are in H.P. if and o...

Prove that if a,b,c are in H.P. if and only if `(a)/c = (a-b)/(b-c)`

Promotional Banner

Topper's Solved these Questions

  • SAMPLE PAPER -8

    FULL MARKS|Exercise PART-IV|13 Videos
  • SAMPLE PAPER -8

    FULL MARKS|Exercise PART-II|9 Videos
  • SAMPLE PAPER -5

    FULL MARKS|Exercise PART-I (CHOOSE THE CORRECT ANSWER)|2 Videos
  • SAMPLE PAPER 09

    FULL MARKS|Exercise PART-IV|11 Videos

Similar Questions

Explore conceptually related problems

Prove that if a, b, c are in HP, if and only if (a)/(c )=(a-b)/(b-c) .

If |{:(a,b,a alpha+b),(b,c,b alpha+c),(a alpha +b,b alpha+c,0):}|=0 Prove that a,b,c are in G.P. or alpha is a root of ax^2 + 2bx + c=0

If |(a,b,aalpha+b),(b,c,balpha+c),(aalpha+b,balpha+c,0)|=0, prove that a,b,c, are in G.P. or alpha is a root of ax^(2)+ 2bx+c=0

If a,b,c are in G.P. then (a-b)/(b-c) is equal to ………….

If a,b,c are in A.P. then (a-b)/(b-c) is equal to ………….

If a,b,c are in G.P then (a-b)/(b-c) is equal to ………….

Three numbers a, b and c will be in A.P. if and only if ____.

If a ,b ,a n dc are in H.P., then th value of ((a c+a b-b c)(a b+b c-a c))/((a b c)^2) is ((a+c)(3a-c))/(4a^2c^2) b. 2/(b c)-1/(b^2) c. 2/(b c)-1/(a^2) d. ((a-c)(3a+c))/(4a^2c^2)

If a,b, and c are in G.P then a+b,2b and b+ c are in

a ,b ,c x in R^+ such that a ,b ,a n dc are in A.P. and b ,ca n dd are in H.P., then a b=c d b. a c=b d c. b c=a d d. none of these