If A be one A.M and p, q be two G.M.'s b...

If A be one A.M and p, q be two G.M.'s between two numbers then 2A is equal to…..

`(p^(3) + q^(3))/(pq)`

`(p^(3)-q^(3))/(pq)`

`(p^(2) + q^(2))/(2)`

`(pq)/(2)`

Text Solution

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

SEQUENCE AND SERIES
KUMAR PRAKASHAN|Exercise Textbook based MCQs (Latest Exam MCQs)|3 Videos
SEQUENCE AND SERIES
KUMAR PRAKASHAN|Exercise Testbook Illustrations for Practice Work|25 Videos
SEQUENCE AND SERIES
KUMAR PRAKASHAN|Exercise Miscellaneous Exercise|33 Videos
RELATIONS AND FUNCTIONS
KUMAR PRAKASHAN|Exercise Solutions of NCERT Exemplar Problems (Question of Module)|16 Videos
SETS
KUMAR PRAKASHAN|Exercise QUESTION OF MODULE|28 Videos

Similar Questions

Explore conceptually related problems

If A is the arithmatic mean and G_(1) and G_(2) be two geometric means between any two numbers then prove that, (G_(1)^(2))/(G_(2)) + (G_(2)^(2))/(G_(1))=2A

If A and G be A.M. and G.M., respectively between two positive numbers, prove that the numbers are A pm sqrt((A+G )(A−G )) .

If A is the arithmetic mean and G_(1), G_(2) be two geometric mean between any two numbers, then prove that 2A = (G_(1)^(2))/(G_(2)) + (G_(2)^(2))/(G_(1))

The phase between two successive M-phase-

The AM of two given positive numbers is 2. If the larger number is increased by 1, the GM of the numbers becomes equal to the AM to the given numbers. Then, the HM of the given numbers is

If p is the first of the n arithmetic means between two numbers and q be the first on n harmonic means between the same numbers. Then, show that q does not lie between p and ((n+1)/(n-1))^2 p.

The A.M of two positive number is x and two G.M.'s between them are y and z. Then (y^(3) + z^(3))/(xyz) = …….

Prove that the sum of n arithmatic means between two numbers is n times the single A.M. between them.

A non viscous liquid of constant density 10^(3) kg//m^(3) flows in stream line motion along a vertical tube PQ of variable cross-section. Height of P and Q are 2m and 2.5m respectively. Area of tube at Q is equal to 3 times the area of tube at 'P'. Then work done per unit volume by pressure as liquid flows from P and Q. Speed of liquid at 'P' is 3 m//s .

Suppose p is the first of n(ngt1) arithmetic means between two positive numbers a and b and q the first of n harmonic means between the same two numbers. The value of q is

KUMAR PRAKASHAN-SEQUENCE AND SERIES-Textbook based MCQs

If a,b,c are in G.P and A.M of a and b is x and A.M. of b and c is y t...
Text Solution
|
If 10^(th) and 4^(th) terms of a G.P are 9 and 4 respectively, then it...
Text Solution
|
If A be one A.M and p, q be two G.M.'s between two numbers then 2A is ...
Text Solution
|
If m^(th), n^(th) and p^(th) terms of an A.P and G.P be equal and be r...
Text Solution
|
The A.M of two positive number is x and two G.M.'s between them are y ...
Text Solution
|
Series (1)/(log(2)^(2)) + (1)/(log(4)^(4)) + (1)/(log(8)^(4)) + …..+ (...
Text Solution
|
If Sigma n = 210 " then " Sigma n^(2)=…….
Text Solution
|
sqrt2 + sqrt8 + sqrt18 + sqrt32 +…..up to n terms is…….
Text Solution
|
1^(2) + 3^(2) + 5^(2)+……..up to n terms is……..
Text Solution
|
If S(n)=1 + (1)/(2) + (1)/(2) + …..+ (1)/(2^(n-1)), (n in N) then …….
Text Solution
|
0 lt theta lt (pi)/(2) then the minimum value of sin^(3) theta + cosec...
Text Solution
|
If a,b,c,d,e,f are in A.P. then d-b= ……
Text Solution
|
underset(r=1)overset(n)Sigma (underset(m=1)overset(r )Sigma m)=……
Text Solution
|
If 25, x - 6 and x - 12 are in G.P then x = .......... or ......... .
Text Solution
|
If 2,b,c, 23 are in G.P then (b-c)^(2)+ (c-2)^(2) + (23-b)^(2)= …….
Text Solution
|
If a + b + c = 5 then the maximum value of ab^(3)c is……
Text Solution
|
Three numbers a,b, c are between 2 and 18 such that a + b+ c= 25. If 2...
Text Solution
|
A G.P has 2n terms. Its first term is a and last term is l then the pr...
Text Solution
|
The measures of the sides of a right angle triangle are in A.P. The su...
Text Solution
|
11 + 103 + 1005 +…….up to n terms is…….
Text Solution
|