Home
Class 12
MATHS
Given that x+y+z=15w h e na ,x ,y ,z ,b ...

Given that `x+y+z=15w h e na ,x ,y ,z ,b` are in A.P. and `1/x+1/y+1/z+=5/3w h e na ,x ,y ,z ,b` are in H.P. Then G.M. of `aa n db` is 3 One possible value of `a+2b` is 11 A.M. of `aa n db` is 6 Greatest value of `a-b` is 8

Text Solution

Verified by Experts

Given x + y + z = 15
when a, x, y, z, b are in A.P.
`therefore ` Sum of A.M.S's =` x + y + z = (a+b)/(2) xx3`
`rArr (a+b)/(2) xx3 = 15`
`rArr a + b = 10`
When `(1)/(a),(1)/(x),(1)/(y),(1)/(z).(1)/(b)` are in A.P.
Promotional Banner

Topper's Solved these Questions

  • SEQUENCES AND SERIES

    AAKASH INSTITUTE|Exercise Try Yourself|85 Videos
  • SEQUENCES AND SERIES

    AAKASH INSTITUTE|Exercise Assignment (SECTION - A) One option is correct|60 Videos
  • RELATIONS AND FUNCTIONS

    AAKASH INSTITUTE|Exercise Assignment (Section - J) Aakash Challengers Questions|8 Videos
  • SETS

    AAKASH INSTITUTE|Exercise SECTION-I(Aakash Challengers Questions)|5 Videos

Similar Questions

Explore conceptually related problems

Given that x+y+z=15 when a,x,y,z,b are in A.P.and (1)/(x)+(1)/(y)+(1)/(z)+=(5)/(3) when a,x,y,z,b are in H.P.Then G.M.of a and b is 3 One possible value of a+2b is 11 A.M.of a and b is 6 Greatest value of a-b is 8

Given that x+y+z =15 when a,x,y,z,b are in A.P and 1/x+1/y+1/z=5/3 when a,x,y,z,b are in H.P .Then

IF a,b,c are in G.P and a^(1/x)=b^(1/y)=c^(1/z) then x,y,z are in

The value of x+y+z is 15 if a,x,y,z,b are in AP while 1/x+1/y+1/z is 5/3 if a,x,y,z,b are in HP ,then the value of a is

If a,b,c,d be in G.P. and a^x=b^y=c^z=d^w , prove that 1/x,1/y,1/z,1/w are in A.P.

If a,b,c are in G.P.and a^((1)/(x))=b^((1)/(y))=c^((1)/(z)) prove that x,y,z are in A.P.