2/(x-f(pi/12))+3/(x-f(pi/4))+4/(x-f((5pi...

`2/(x-f(pi/12))+3/(x-f(pi/4))+4/(x-f((5pi)/12))=0`

`(f((pi)/(12)),f((pi)/(4)))`

`(0,f((pi)/(12)))`

`(f((5pi)/(12)),oo)`

`(f((pi)/(4)),f((5pi)/(12)))`

Text Solution

Verified by Experts

The correct Answer is:

A, D

Topper's Solved these Questions

APPLICATION OF DERIVATIVES
RESONANCE|Exercise Exersise-2 Part IV comprehension|11 Videos
APPLICATION OF DERIVATIVES
RESONANCE|Exercise Exersise-3 Part I|27 Videos
APPLICATION OF DERIVATIVES
RESONANCE|Exercise Exersise-2 Part II|21 Videos
COMBINATORICS
RESONANCE|Exercise Exercise-2 (Part-II: Previously Asked Question of RMO)|8 Videos

Similar Questions

Explore conceptually related problems

(2)/(x-f((pi)/(12)))+(3)/(x-f((pi)/(4)))+(4)/(x-f((5 pi)/(12)))=0

If f(x)=(1-sin^(2)x)/(1+sin^(2)x)," then "3f'((pi)/(4))-f((pi)/(4))=

which of the following statement is // are true ? (i) f(x) =sin x is increasing in interval [(-pi)/(2),(pi)/(2)] (ii) f(x) = sin x is increasing at all point of the interval [(-pi)/(2),(pi)/(2)] (3) f(x) = sin x is increasing in interval ((-pi)/(2),(pi)/(2)) UU ((3pi)/(2),(5pi)/(2)) (4) f(x)=sin x is increasing at all point of the interval ((-pi)/(2),(pi)/(2)) UU ((3pi)/(2),(5pi)/(2)) (5) f(x) = sin x is increasing in intervals [(-pi)/(2),(pi)/(2)]& [(3pi)/(2),(5pi)/(2)]

If f(x)=tanx and A,B,C are the anlges of /_\ABC, then |(f(A), f(pi/4) f(pi/4)), (f(pi/4), f(B) f(pi/4)), (f(pi/4), f(pi/4) f(C))|= (A) 0 (B) -2 (C) 2 (D) 1

Let f(x)= {{:(,(tanx-cotx)/(x-(pi)/(4)),x ne (pi)/(4)),(,a,x=(pi)/(4)):} The value of a so that f(x) is a continous at x=pi//4 is.

If f(x)=cos[pi^(2)]x+cos[-pi^(2)]x, where [x] stands for the greatest integer function,then (a) f((pi)/(2))=-1( b) f(pi)=1( c) f(-pi)=0 (d) f((pi)/(4))=1

The domain of the function f given by f(x)=sqrt(log_(0.3)((e^(x)-1)/(e^(x)-tan x))) contains (A) (0,(pi)/(4)](B)[(pi)/(4),(pi)/(2))(C)[-(3 pi)/(4),-(pi)/(2)) (D) ((pi)/(2),(5 pi)/(4)]

If f(x) is continuous at x=(pi)/(4) where f(x)=(2sqrt(2)-(cos x+sin x)^(3))/(1-sin2x) ,for x!=(pi)/(4) then f((pi)/(4))=

If f(x)=-int_(0)^(x) log (cos t) dt, then the value of f(x)-2f((pi)/(4)+(x)/(2))+2f((pi)/(4)-(x)/(2)) is equal to

Off(x)=int_0^x("cos"(sint)+"cos"(cost)dt ,t h e nf(x+pi)i s (a)f(x)+f(pi) (b) f(x)+2(pi) (c)f(x)+f(pi/2) (d) f(x)+2f(pi/2)

RESONANCE-APPLICATION OF DERIVATIVES-Exersise-2 Part III

If f(x) = 2x + cot^(-1) x + log ( sqrt(1+x^2 )-x) then f(x)
Text Solution
|
Let g(x)=2f(x/2)+f(1-x) and f^(primeprime)(x)<0 in 0<=x<=1 then g(x)
Text Solution
|
Let f(x)=x^(m/n) for x in R where m and n are integers , m even an...
Text Solution
|
Let f and g be two differentiable functions defined on an interval I s...
Text Solution
|
Let g(x)=(f(x))^3-3(f(x))^2+4f(x)+5x+3sinx+4cosxAAx in Rdot Then prov...
Text Solution
|
if p,q,r be real then the interval in which f(x) =|underset(pr" ...
Text Solution
|
If f(x)=(x^2)/(2-2cosx);g(x)=(x^2)/(6x-6sinx) where 0 < x < 1, then (A...
Text Solution
|
2/(x-f(pi/12))+3/(x-f(pi/4))+4/(x-f((5pi)/12))=0
Text Solution
|
Let f(x)=(x^2-1)^n(x^2+x+1) then f(x) has local extremum at x=1 whe...
Text Solution
|
If f(x)=x/(1+x tan x): x in (0,pi/2), then
Text Solution
|
If f(x)=alog|x|+b x^2+x has extreme values at x=-1 and at x=2 , then f...
Text Solution
|
if f(x) =[underset(-x " ", " " x gt 1) (-sqrt(1-...
Text Solution
|
if f(x) = tan^(1) x -(1//2) en x. then
Text Solution
|
Let f(x) =(40)/(3x^(4) +8x^(3) -18x^(2)+60). Which of the following ...
Text Solution
|
A function f(x) =(x^(2) -3x +2)/(x^(2)+ 2x -3) is
Text Solution
|
For the fucntion f(x) =x cot^(-1) x , x ge 0
Text Solution
|
Which of the following statements are true :
Text Solution
|
Let f(x) be a differentiable function and f(alpha)=f(beta)=0(alpha< be...
Text Solution
|
which of the following inequalities are valid-
Text Solution
|
For all x in [1, 2] Let f"(x) of a non-constant function f(x) exist a...
Text Solution
|