Home
Class 11
MATHS
If P,Q be the A.M., G.M. respectively be...

If `P`,`Q` be the A.M., G.M. respectively between any two rational numbers `a` and `b`, then `P-Q` is equal to
(A)  `(a-b)/a`   (B)  `(a+b)/2`   (C)  `(2ab)/(a+b)`   (D)  `((sqrt(a)-sqrt(b))/sqrt(2))^2`

Promotional Banner

Similar Questions

Explore conceptually related problems

In an AP, S_p=q , S_q=p . Then S_(p+q) is equal to: a.     0 b.     -(p+q) c.     (p+q) d.     pq

If x ÷ 1 = 8 , then x is equal to ( a )   8   ( b )   1   ( c )   -8   ( d )   -1  

The acute angle between the lines y=3 and y=sqrt(3)x+k is (A)   30 °   (B)   60 °    (C)   45 °   (D)   90 °   

If ( -6 ) ÷ x = 1 , then x is equal to (A)   -6   (B)   6   (C)   -1/6   (D)   7

The radical center of the circles x^2+y^2=a^2 , (x-c)^2+y^2=a^2 and x^2+(y-b)^2=a^2 is (A)   (a/2,b/2)   (B)   (b/2,c/2)   (C)   (c/2,b/2)   (D)   None of these

If y - 9 = ( - 4 ) , then y is equal to : ( a )   3   ( b )   4   ( c )   5   (d )   7  

The number of solutions of z^2+bar z=0 is (a) 1           (b) 2 (c) 3           (d) 4

If a^(1/2)+b^(1/2)-c^(1/2)=0 , then the value of (a+b-c)^2 is: (A)    2ab    (B)    2bc    (C)    4ab    (D)    4ac

The number of integral pairs (x,y) satisfying the equation (x-y)^2+2y^2=27 is: a.    8 b.    7 c.    6 d.    5

If S is the sum to infinity of a G.P. whose first term is 'a' , then the sum of the first n terms is (A)   S(1-a/S)^n    (B)   S[1-(1-a/S)^n]    (C)   a[1-(1-a/S)^n]    (D)   S[1-(1-S/a)^n]