Home
Class 12
MATHS
If a,b,c are in AP and a^(2),b^(2),c^(2)...

If a,b,c are in AP and `a^(2),b^(2),c^(2)` are in HP, then

A

`a=b=c`

B

`2b=3a+c`

C

`b^(2)=sqrt((ac)/(8))`

D

None of these

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • SEQUENCES AND SERIES

    ARIHANT MATHS|Exercise Exercise For Session 5|8 Videos
  • SEQUENCES AND SERIES

    ARIHANT MATHS|Exercise Exercise For Session 6|10 Videos
  • SEQUENCES AND SERIES

    ARIHANT MATHS|Exercise Exercise For Session 3|15 Videos
  • PROPERTIES AND SOLUTION OF TRIANGLES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|21 Videos
  • SETS, RELATIONS AND FUNCTIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|12 Videos

Similar Questions

Explore conceptually related problems

Suppose a,b,c are in AP and a^(2),b^(2),c^(2) are in GP, If agtbgtc and a+b+c=(3)/(2) , than find the values of a and c.

If a,b,c are in A.P. and a^2,b^2,c^2 are in H.P. then which of the following could and true (A) -a/2, b, c are in G.P. (B) a=b=c (C) a^3,b^3,c^3 are in G.P. (D) none of these

If a , b , c , are in A P ,a^2,b^2,c^2 are in HP, then prove that either a=b=c or a , b ,-c/2 from a GP (2003, 4M)

If a,b,c are in A.P. then :

If 1/a,1/b,1/c are in A.P and a,b -2c, are in G.P where a,b,c are non-zero then

If x, 1, z are in AP and x, 2, z are in GP, then x, 4, z will be in (a) AP (b) GP (c) HP (d) None Of These

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

If a ,b ,c are in G.P. and a-b ,c-a ,a n db-c are in H.P., then prove that a+4b+c is equal to 0.

If a,b,c are in AP, then show that r_(1), r_(2), r_(3) are in HP.

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) .