Home
Class 12
MATHS
If x,y,z be three numbers in G.P. such t...

If `x,y,z` be three numbers in `G.P.` such that `4` is the `A.M.` between `x` and `y` and `9` is the `H.M.` between `y` and `z` , then `y` is

A

`4`

B

`6`

C

`8`

D

`12`

Text Solution

Verified by Experts

The correct Answer is:
B
`(b)` Let `x=(k)/(r )`, `y=k`, `z=kr`
`implies((k)/(r )+k)/(2)=4` ……..`(i)`
and `(2k*kr)/(k+kr)=9` ………`(ii)`
Solving we get `k=6`
Promotional Banner

Topper's Solved these Questions

  • PROGRESSION AND SERIES

    CENGAGE|Exercise Comprehension|7 Videos

  • PROGRESSION AND SERIES

    CENGAGE|Exercise Multiple Correct Answer|4 Videos

  • PROBABILITY II

    CENGAGE|Exercise JEE Advanced Previous Year|25 Videos

  • PROPERTIES AND SOLUTIONS OF TRIANGLE

    CENGAGE|Exercise JEE Advanced Previous Year|11 Videos

Similar Questions

Explore conceptually related problems

If x,y,z are positive numbers in A.P., then

The number of three digit numbers of the form xyz such that x lt y , z le y and x ne0 , is

If x,y,z are in G.P and a^x=b^y=c^z ,then

If A.M and G.M of x and y are in the ratio p:q , then x:y is

Find the angle between the planes 2x – 3y + 4z= 1 and - x + y = 4

If a,x,b are in A.P.,a,y,b are in G.P. and a,z,b are in H.P. such that x=9z and gt0,bgt0 , then

The shortest distance between the lines 2x+y+z-1=0=3x+y+2z-2 and x=y=z , is

Find the acute angle between the planes 2x-3y+5z=1 and x-y-z=7 .

Find the distance between the parallel planes x-2y-2z=3 and 2x-4y-4z=7 .