If f(x) = sec 2x + cosec 2x, then f(x) i...

If f(x) = sec 2x + cosec 2x, then f(x) is discontinuous at all points in

A. `{n pi, n in N}`

B. `{(2n +- 1)(pi)/(4), n in I}`

C. `{(n pi)/(4), n in I}`

D. `{(2n +- 1)(pi)/(8), n in I}`

Text Solution

Verified by Experts

The correct Answer is:

A, B, C

Topper's Solved these Questions

CONTINUITY AND DIFFERENTIABILITY
ARIHANT MATHS|Exercise Exercise (Statement I And Ii Type Questions)|11 Videos
CONTINUITY AND DIFFERENTIABILITY
ARIHANT MATHS|Exercise EXERCISE 4|3 Videos
CONTINUITY AND DIFFERENTIABILITY
ARIHANT MATHS|Exercise Exercise (Single Option Correct Type Questions)|50 Videos
COMPLEX NUMBERS
ARIHANT MATHS|Exercise Complex Number Exercise 8|3 Videos
COORDINATE SYSTEM AND COORDINATES
ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|7 Videos

Similar Questions

Explore conceptually related problems

Fill in the blanks: The function f(x)= lfloor x rfloor is discontinuous at all points of the set of …………… .

If f(x) = (1)/(x^(2) - 17 x + 66) , then f((2)/(x - 2)) is discontinuous at x =

If f(x) is a real-valued function discontinuous at all integral points lying in [0,n] and if (f(x))^(2)=1, forall x in [0,n], then number of functions f(x) are

If f(x) = cos^2x + sec^2x , its value always is

If f(x) = (x + 1)/(x-1) and g(x) = (1)/(x-2) , then (fog)(x) is discontinuous at

If f(x) = [x^(-2) [x^(2)]] , (where [*] denotes the greatest integer function) x ne 0 , then incorrect statement a. f(x) is continuous everywhere b. f(x) is discontinuous at x = sqrt(2) c. f(x) is non-differentiable at x = 1 d. f(x) is discontinuous at infinitely many points

Statement I f(x) = sin x + [x] is discontinuous at x = 0. Statement II If g(x) is continuous and f(x) is discontinuous, then g(x) + f(x) will necessarily be discontinuous at x = a.

Let f(X) = sin x cos x. Write down the set of points of discontinuity of f.

If f(x)=1/(1-x), then the set of points discontinuity of the function f(f(f(x)))i s {1} (b) {0,1} (c) {-1,1} (d) none of these

Given the function f(x) = 1/(x+2) . Find the points of discontinuity of te composite function y = f(f(x))

ARIHANT MATHS-CONTINUITY AND DIFFERENTIABILITY-Exercise (More Than One Correct Option Type Questions)

If f(x) = |x+1|(|x|+|x-1|), then at what point(s) is the function not ...
Text Solution
|
Let [x] be the greatest integer function f(x)=(sin(1/4(pi[x]))/([x])) ...
Text Solution
|
If f(x) = {{:((sin^(-1)x)^(2)cos((1)/(x))",",x ne 0),(0",",x = 0):} th...
Text Solution
|
f(x) = cos x and H(x) = {{:(min{f(t), 0 le t lt x},0 le x le (pi)/(2))...
Text Solution
|
If f(x) = 3(2x + 3)^(2//3) + 2x + 3, then: (a) f(x) is continuous but ...
Text Solution
|
If f(x) ={{:(-x=(pi)/(2),xle -(pi)/(2)), (- cos x, -(pi)/(2)lt x ,le ...
Text Solution
|
if f(x) ={{:( (x log cos x)/( log( 1+x^(2) )), x ne 0) ,( 0, x=0):} ...
Text Solution
|
Let [x] denote the greatest integer less that or equal to x. If f(x) =...
Text Solution
|
The function f(x)=x-[x] , where [⋅] denotes the greatest integer fu...
Text Solution
|
The function f(x)=sqrt(1-sqrt(1-x^2)) a. has its domain -1 le x le 1 ...
Text Solution
|
Consider the function f(x) = |x^(3) + 1|. Then,
Text Solution
|
f is a continuous function in [a,b]; g is a continuous function in [b,...
Text Solution
|
Which of the following function(s) has/have the same range ?
Text Solution
|
If f(x) = sec 2x + cosec 2x, then f(x) is discontinuous at all points ...
Text Solution
|
Show that f(x)={{:("x sin"(1)/(x)",","when",x ne 0),(0",","when",x = 0...
Text Solution
|
A function is defined as f(x) = {{:(e^(x)",",x le 0),(|x-1|",",x gt 0)...
Text Solution
|
Let f(x) = int(-2)^(x)|t + 1|dt, then a. f(x) is continuous in [-1, ...
Text Solution
|
A function f(x) satisfies the relation f(x+y) = f(x) + f(y) + xy(x+y),...
Text Solution
|
Show that the function f (x)={ {:(3x^(2) + 12 x - 1,- 1 le x le 2 )...
Text Solution
|
If f(x) = 0 for x lt 0 and f(x) is differentiable at x = 0, then for x...
Text Solution
|