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  • Class 12 Maths Study Material

An Educational platform for Preparation and Practice Class 12. Kidsfront provide unique pattern of learning Maths with free online comprehensive study material in the form of QUESTION & ANSWER for each Chapter of Maths for Class 12. This study material help Class 12, Maths students in learning every aspect of Continuity and Differentiability. Students can understand Continuity and Differentiability concept easily and consolidate their learning by doing Online Practice Tests on Maths,Continuity and Differentiability chapter repeatedly till they excel in Class 12, Continuity and Differentiability. Free ONLINE PRACTICE TESTS on Class 12, Continuity and Differentiability comprise of Hundreds of Questions on Continuity and Differentiability, prepared by the highly professionals team. Every repeat test of Continuity and Differentiability will have new set of questions and help students to prepare themselves for exams by doing unlimited Online Test exercise on Continuity and Differentiability. Attempt ONLINE TEST on Class 12,Maths,Continuity and Differentiability in Academics section after completing this Continuity and Differentiability Question Answer Exercise.


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  • Topic wise:Continuity and Differentiability preparation in the form of QUESTION & ANSWER.
  • Evaluate preparation by doing ONLINE TEST of Class 12, Maths,Continuity and Differentiability.
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Continuity and Differentiability
What are the types of discontinuity?

a) Removable discontinuity
b) Irremovable discontinuity
c) Both 1 and 2
d) None of these



Answer
Correct Answer Is : Both 1 and 2
Solution Is :
A real value function f is said to have removable discontinuity at x =a in its domain, if lim x → a f(x) exists but ___________.

a) Lim x → a f(x) - f (a)
b) Lim x → a f(x) + f (a)
c) Lim x → a f(x) = f (a)
d) Lim x → a f(x)≠f (a)



Answer
Correct Answer Is : Lim x → a f(x)≠f (a)
Solution Is :
A real value function f is said to have irremovable discontinuity at x =a, if lim x → a f(x) does not exists but _______________ or one of the limits does not exist.

a) Lim x → a¯ f(x)≠lim x → a f (a)
b) Lim x → a f(x)≠lim x → a?f (a)
c) Lim x → a¯ f(x)≠lim x → a?f (a)
d) Lim x → a¯ f(x) = lim x → a?f (a)



Answer
Correct Answer Is : Lim x → a¯ f(x)≠lim x → a?f (a)
Solution Is :
If f and g are two real value functions defined on the same domain, which are continuous at x = a, then the function ______ is continuous at x = a, for any constant k ∊ R.

a) K.f
b) F ± g
c) F.g
d) F / g



Answer
Correct Answer Is : K.f
Solution Is :
If f and g are two real value functions defined on the same domain, which are continuous at x = a, then the function ______ is continuous at x = a.

a) K.f
b) F ± g
c) F.g
d) Both 2 and 3



Answer
Correct Answer Is : Both 2 and 3
Solution Is :
If f and g are two real value functions defined on the same domain, which are continuous at x = a, then the function f.g is continuous at _________ .

a) X = f
b) X= g
c) X = a
d) Both 2 and 3



Answer
Correct Answer Is : X = a
Solution Is :
True or false: the types of continuity 1. removable and irremovable

a) TRUE
b) FALSE
c) Maybe
d) None of these



Answer
Correct Answer Is : FALSE
Solution Is :
If f and g are two real value functions defined on the same domian, which are continuous at x = a, then the function ______ is continuous at x = a, when g (x)≠0.

a) K.f
b) F ± g
c) F.g
d) F / g



Answer
Correct Answer Is : F / g
Solution Is :
If f and g are two real value functions defined on the same domian, which are continuous at x = a, then composite functions, ______________ ,if well defined are continuous functions at x = a.

a) F (g) (x)
b) G (f) (x)
c) F (g) (x) and g (f) (x)
d) None of these



Answer
Correct Answer Is : F (g) (x) and g (f) (x)
Solution Is :
A function f is ___________ at a point x = a in the domain of f if, f (x) exist and lim x → a f(x) = f(a).

a) Continuous
b) Discontinuous
c) Removable
d) Irremovable



Answer
Correct Answer Is : Continuous
Solution Is :
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