If m is the A.M of two distinct real ...

If m is the A.M of two distinct real number l and n (l,n`gt` 1) and `G_(1),G_(2)` and `G_(3)` are three geometric means between l and n, then `G_(1)^(4) + 2G_(2)^(4) + G_(3)^(4)` equal :

`4l^(2) mn`

`4lm^(2)n`

`4lmn^(2)`

`4l^(2) m^(2) n^(2)`

Text Solution

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

MOCK TEST PAPER -I
MODERN PUBLICATION|Exercise SELECT THE CORRECT ANSWER|60 Videos
MOCK TEST PAPER -III
MODERN PUBLICATION|Exercise SELECT THE CORRECT ANSWER|60 Videos

Similar Questions

Explore conceptually related problems

If m is the A.M. of two distinct real numbers l and n ( l , n gt 1) and G_(1) , G_(2) and G_(3) are three geometric means between l and n , then G_(1)^(4) + 2 G_(2)^(4) + G_(3)^(4) equals :

If m is the A.M. of two distinct real numbers l and n""(""l ,""n"">""1) and G1, G2 and G3 are three geometric means between l and n, then G1 4+2G2 4+G3 4 equals, (1) 4l^2 mn (2) 4l^m^2 mn (3) 4l m n^2 (4) 4l^2m^2n^2

If A_(1), A_(2) be two A.M's and G_(1), G_(2) be two G.M's between a and b , then (A_(1)+A_(2))/(G_(1) G_(2)) is equal to

If a is the A.M. of b and c and the two geometric means are G_(1) and G_(2) , then prove that G_(1)^(3)+G_(2)^(3)=2abc

Two A.M.'s A_(1) and A_(2) , two G.M.'s G_(1) and G_(2) and two H.M.'s H_(1) and H_(2) are inserted between any two numbers , then H_(1)^(-1)+ H_(2)^(-1) equals :

Give the relation between Kp and Kc for the be equilibrium N_(2)(g)+3H_(2)(g)hArr2NH_(3)(g)

Let A_1 , G_1, H_1 denote the arithmetic, geometric and harmonic means respectively, of two distinct positive numbers. For n >2, let A_(n-1),G_(n-1) and H_(n-1) has arithmetic, geometric and harmonic means as A_n, G_N, H_N, respectively.

Let A_(1),A_(2),A_(3),"......."A_(m) be arithmetic means between -3 and 828 and G_(1),G_(2),G_(3),"......."G_(n) be geometric means between 1 and 2187. Product of geometric means is 3^(35) and sum of arithmetic means is 14025. The value of n is

The H.M. of two numbers is 4 and A.M. A and G.M. G satisfy the relation 2A+G^(2) = 27 , the numbers are :

MODERN PUBLICATION-MOCK TEST PAPER -II-SELECT CORRECT ANSWER

Let alpha and beta the roots of equation px^(2) + qx + =0 p ne 0 ...
Text Solution
|
If the coefficents of x^(3) and x^(4) in the expansion of (1+ax + ...
Text Solution
|
If m is the A.M of two distinct real number l and n (l,ngt 1) and...
Text Solution
|
Let P-=(-1,0),Q-=(0,0) and R-=(3,3sqrt(3)) be three points. The equati...
Text Solution
|
If the focii of (x^(2))/(16)+(y^(2))/(4)=1 and (x^(2))/(a^(2))-(y^(2...
Text Solution
|
The mean of the data set somprising of 16 doeservatins is 16.If o...
Text Solution
|
If tanx=3/4, pi lt x lt (3 pi)/(2), then the value of cos. x/2 is
Text Solution
|
The logical equivalent proposition of p rArr q is
Text Solution
|
If sin^(-1) (x - (x^(2))/(2 ) + (x^(3))/(4)….)+cos^(-1)(x^2-x^4/2+x^6/...
Text Solution
|
cot^(1) sqrt(cos alpha) -tan^(-1) sqrt(cos alpha)= x then sin x
Text Solution
|
Ifcos^(-1) x - cos ^(-1) (y)/(2) =alpha then 4x^(2) -4xy cos alpha+ ...
Text Solution
|
If 0 lt x lt 1 then :
Text Solution
|
If a, b and c are in A.P., then the value of |(x+2,x+3,x+a),(x+4,x+5,...
Text Solution
|
If |(2a,x(1),y(1)),(2b,x(2),y(2)),(2c,x(3),y(3))| = (abc)/2 != 0 , th...
Text Solution
|
The system of linear equation : x+y+z=6,x+2y+3z=10 and x+2y+az=6 ...
Text Solution
|
If A is 3xx4 matrix and B is a matrix such that A'B and BA' are both d...
Text Solution
|
The symmetric part of the matrix A=[(1,2,4),(6,8,2),(2,-2,7)] is
Text Solution
|
If A is a matrix of order 3, such that A (adj A) = 10 I, then |adj A...
Text Solution
|
underset(n to porp) (lim ) (1^(2) +2^(2) ………. +n^(2) (n)^(1//n))/( (n...
Text Solution
|
lim ( xto 0 ) ( 1- cos x ) /( x^(2))
Text Solution
|