Home
Class 12
MATHS
If a,b,care in HP, then show that (a-b)/...

If `a,b,c`are in HP, then show that `(a-b)/(b-c)=(a)/(c).`

A

`(a)/(b)`

B

`(b)/(a)`

C

`(a)/(c)`

D

`(c)/(b)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • SEQUENCE AND PROGRESSION

    ALLEN|Exercise Exercise O-13|1 Videos

  • SEQUENCE AND PROGRESSION

    ALLEN|Exercise Exercise O-14|1 Videos

  • SEQUENCE AND PROGRESSION

    ALLEN|Exercise Exercise O-11|1 Videos

  • RACE

    ALLEN|Exercise Race 21|14 Videos

  • TEST PAPER

    ALLEN|Exercise CHEMISTRY SECTION-II|3 Videos

Similar Questions

Explore conceptually related problems

If a,b,c are in H.P, then

If a,b,c are in H.P. , then

If a,b,c are in HP, then prove that (a+b)/(2a-b)+(c+b)/(2c-b)gt4 .

If a,b,c are in AP, than show that a^(2)(b+c)+b^(2)(c+a)+c^(2)(a+b)=(2)/(9)(a+b+c)^(3) .

If a,b,c are in H.P then prove that a/(b+c-a),b/(c+a-b),c/(a+b-c) are in H.P

If a, b, c are in HP, then (a-b)/(b-c) is equal to

If a,b,c are in H.P., then the value of ((1)/(b)+(1)/(c)-(1)/(a))((1)/(a)+(1)/(b)-(1)/(c)) is

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

(i) a , b, c are in H.P. , show that (b + a)/(b -a) + (b + c)/(b - c) = 2 (ii) If a^(2), b^(2), c^(2) are A.P. then b + c , c + a , a + b are in H.P. .

If a,b,c are in HP,b,c,d are in GP and c,d,e are in AP, than show that e=(ab^(2))/(2a-b)^(2) .