Published by:
CGP EDU Academic Team
Published on: August 14, 2026
The following questions given below consist of an" Statement-I " and " Statement-II " Type questions. Use the following Key to choose the
appropriate answer.
A
If both Statement-I and Statement-II are true, and Statement-II is the correct explanation of Statement-I.
B
If both Statement-I and Statement-II are true but Statement-II is not the correct explanation of Statement-I.
C
If Statement-I is true but Statement-II is false.
D
If Statement-I is false but Statement-II is true. (i) Statement-I : tan (tan x) is discontinuous at finite number of point in (0, π /2) Statement-II: tan x is discontinuous at (2k +1) π /2 (ii) Statement-I : Let f(x) = 
, x ≠ 
, x ∈ 
.If f(x) is continuous in 
, Then f 
= 
. Statement-II : f(x) is continuous at x = a if 
f(x) = f(a) (iii) Statement-I: f(x) = x n sin 
is differentiable for all real values of x (n ≥ 2) Statement-II: For n ≥ 2, Right derivative = Left derivative (for all real values of x)
, x ≠ , x ∈ .If f(x) is continuous in , Then f = . Statement-II : f(x) is continuous at x = a if f(x) = f(a) (iii) Statement-I: f(x) = x n sin is differentiable for all real values of x (n ≥ 2) Statement-II: For n ≥ 2, Right derivative = Left derivative (for all real values of x)
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
Ans.
(i)
Sol. Self Teacher
(ii)
Sol. Statement-I : f( π /4) = f( π /4)
= 
= 
– 
= – 2/4 ⇒ f( π /4) = –1/2
Statement-II : 
f(x) = ⇒ f(a +) = f(a –) = f(a)
Both are correct
(iii)
Sol.
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