If G be the GM between x and y, then the value of `(1)/(G^(2) - x^(2)) + (1)/(G^(2) - y^(2))` is equal to
A
`G^(2)`
B
`(2)/(G^(2))`
C
`(1)/(G^(2))`
D
`3G^(2)`
Text Solution
Verified by Experts
The correct Answer is:
C
Topper's Solved these Questions
SEQUENCE AND PROGRESSION
ALLEN|Exercise Exercise O-12|1 Videos
SEQUENCE AND PROGRESSION
ALLEN|Exercise Exercise O-13|1 Videos
SEQUENCE AND PROGRESSION
ALLEN|Exercise Exercise O-10|1 Videos
RACE
ALLEN|Exercise Race 21|14 Videos
TEST PAPER
ALLEN|Exercise CHEMISTRY SECTION-II|3 Videos
Similar Questions
Explore conceptually related problems
If G is the geometric mean of xa n dy then prove that 1/(G^2-x^2)+1/(G^2-y^2)=1/(G^2)
If G is the geometric mean of xa n dy then prove that 1/(G^2-x^2)+1/(G^2-y^2)=1/(G^2)
Let g (x) be then inverse of f (x) such that f '(x) =(1)/(1+ x ^(5)), then (d^(2) (g (x)))/(dx ^(2)) is equal to:
Let g (x) be then inverse of f (x) such that f '(x) =(1)/(1+ x ^(5)), then (d^(2) (g (x)))/(dx ^(2)) is equal to:
Let f(x)=2x+1 and g(x)=int(f(x))/(x^(2)(x+1)^(2))dx . If 6g(2)+1=0 then g(-(1)/(2)) is equal to
If A_(1),A_(2) are two A.M.'s and G_(1),G_(2) be two G.M.'s between two positive numbers a and b, then (A_(1)+A_(2))/(G_(1)G_(2)) is equal to (i) (a+b)/(ab) (ii) (a+b)/2 (iii) (a+)/(a-b) (iv) None of these
Let g be the inverse function of f and f'(x)=(x^(10))/(1+x^(2)). If g(2)=a then g'(2) is equal to
If g(x-1) = x^(2)+2 , then g(x)=
If f(1) =g(1)=2 , then lim_(xrarr1) (f(1)g(x)-f(x)g(1)-f(1)+g(1))/(f(x)-g(x)) is equal to
The value of int_1^2 {f(g(x))}^(-1)f'(g(x))g'(x) dx , where g(1)=g(2), is equal to
