Refer to BITSAT Mathematics Continuity and Differentiability MCQs provided below. BITSAT Full Syllabus Mathematics MCQs with answers available in Pdf for free download. The MCQ Questions for Full Syllabus Mathematics with answers have been prepared as per the latest syllabus, BITSAT books and examination pattern suggested in Full Syllabus by BITSAT, NCERT and KVS. Multiple Choice Questions for Continuity and Differentiability are an important part of exams for Full Syllabus Mathematics and if practiced properly can help you to get higher marks. Refer to more Chapter-wise MCQs for BITSAT Full Syllabus Mathematics and also download more latest study material for all subjects

## MCQ for Full Syllabus Mathematics Continuity and Differentiability

Full Syllabus Mathematics students should refer to the following multiple-choice questions with answers for Continuity and Differentiability in Full Syllabus. These MCQ questions with answers for Full Syllabus Mathematics will come in exams and help you to score good marks

### Continuity and Differentiability MCQ Questions Full Syllabus Mathematics with Answers

#### Question: The function is continuous on the interval

- a) [–1, 1]
- b) (–1, 1)
- c) {–1, 1] – { 0 }
- d) (–1, 1) – {0}

**Answer: ****[–1, 1]**

#### Question: If

#### then f(x) is

- a) Continuous as well as differentiable at x = 0
- b) Continuous but not differentiable at x = 0
- c) Differentiable but not continuous at x = 0
- d) Neither continuous nor differentiable at x = 0

**Answer: Continuous as well as differentiable at x = 0**

#### Question: If f (x) =then the value of f ' (e) is equal to

- a) 1
- b)
- c)
- d)

**Answer:**

#### Question: The number of points at which the function is discontinuous is :

- a) 1
- b) 2
- c) 3
- d) 4

**Answer: ****3**

#### Question: Let f (x) = be real valued function. Then f ¢(x) for 1 < x < 26 is

- a) 0
- b)
- c) 2 √x -1-5
- d) None of these

**Answer: ****0**

#### Question: For any differentiable function y of x,

- a) 0
- b) y
- c) – y
- d) x

**Answer: ****0**

#### Question: If a function f(x) is given by

**then at x = 0, f(x)**

- a) Has no limit
- b) Is not continuous
- c) Is continuous but not differentiable
- d) Is differentiable

**Answer: Is not continuous**

#### Question: If g is the inverse of function f and f ¢(x) = sin x, then g¢(x) is equal to

- a) cosec {g(x)}
- b) sin {g(x)}
- c)
- d) None of these

**Answer:**

#### Question: The number of real roots of the equation e^{x–1} + x – 2 = 0 is

- a) 1
- b) 2
- c) 3
- d) 4

**Answer: 1**

#### Question: If y =then is

- a) n
^{2}y - b) – n
^{2}y - c) –y
- d) 2x
^{2}y

**Answer: ****n ^{2}y**

#### Question:

#### (cos^{–1} x + sin^{–1} x) is

- a) π/2
- b) 0
- c)
- d) None of these

**Answer: ****0**

#### Question:

Let ( ) =

**Then which one of the following is true?**

- a) f is differentiable at x = 0 and x =1
- b) f is differentiable at x = 0 but not at x = 1
- c) f is differentiable at x = 1 but not at x = 0
- d) f is neither differentiable at x = 0 nor at x =1

**Answer: f is differentiable at x = 0 but not at x = 1**

#### Question: If y =1 + x +thenis equal to

- a) x
- b) 1
- c) y
- d) None of these

**Answer: ****y**

#### Question: If

**is continuous at x = –5, then the value of ‘a’ will be**

- a) 3/2
- b) 7/8
- c) 8/7
- d) 2/3

**Answer: ****7/8**

#### Question: If x = a sin θ and y = b cos θ, then is

- a)
- b)
- c)
- d)

**Answer:**

#### Question: If f(x) = x^{α} log x and f(0) = 0, then the value of α for which Rolle’s theorem can be applied in [0, 1] is

- a) –2
- b) –1
- c) 0
- d) 1/2

**Answer: 1/2**

#### Question: If the function f(x) =is continuous at x = 2 and 4, then the values of a and b are

- a) 3, 5
- b) 3, – 5
- c) 0, 3
- d) 0, 5

**Answer: 3, – 5**

#### Question: If y = x^{x2} , then is equal to

- a) (2 ln x)
- b) (2 ln x +1)
- c) (ln ln x +1)x
^{ x2} - d) None of these

**Answer: ****None of these**

#### Question: The function f (x) = (x -1) √| ln x | is at x = 1

- a) Discontinuous
- b) Continuous but not differentiable
- c) Differentiable with f ' (1) = 0
- d) Differentiable with f ¢ (1) ≠ 0

**Answer: ****Differentiable with f ' (1) = 0**

#### Question: Let Then f (x) is derivable at x = 1, if

- a) a = 2
- b) a = 1
- c) a = 0
- d) a = 1/2

**Answer: ****a = 1/2**

#### Question: If y = e^{–x} cos x and y_{4} + ky = 0, where then k =

- a) 4
- b) – 4
- c) 2
- d) – 2

**Answer: 4**

#### Question: The set of points of discontinuity of the function 1/log | x | is –

- a) {–1, 0, 1}
- b) {0}
- c) {0, 1}
- d) None of these

**Answer: {–1, 0, 1}**

#### Question: If y = (cos x^{2})^{2} then is equal to :

- a) – 4x sin 2x
^{2} - b) – x sin x
^{2} - c) – 2x sin 2x
^{2} - d) – x cos 2x
^{2}

**Answer: ****– 2x sin 2x ^{2}**

#### Question: If

#### then the points of discontinuity of the function f [ f {f(x)}] are

- a) {0, –1}
- b) {0,1}
- c) {1, –1}
- d) None of these

**Answer: {0,1}**

#### Question: If

#### f

#### is continuous at x = 0, then the value of k will be

- a) 1
- b) -1
- c) 0
- d) None of these

**Answer: ****0**

#### Question: Let

#### Then f (x) is derivable at x = 1, if

- a) a = 2
- b) a = 1
- c) a = 0
- d) a = 1/2

**Answer: ****a = 1/2**

#### Question: Let h(x) = min {x, x^{2}}, for every real number of x, Then

- a) h is continuous for all x
- b) h is differentiable for all x
- c) h’(x) = 2, for all x > 1
- d) h is not differentiable at three values of x.

**Answer: h is continuous for all x**

#### Question: If f(x) = (x + 1)^{cot x} is continuous at x = 0, then f(0) is equal to

- a) 0
- b) 1
- c) 1/e
- d) e

**Answer: ****e**

#### Question: If 2t = v^{2}, then is equal to

- a) 0
- b) 1/4
- c) 1/2
- d) 1/v

**Answer: 1/v**

#### Question: If y^{2} = P (x), is a polynomial of degree, then

#### equals

- a) P'''(x) + P' (x)
- b) P''(x). P'''(x
- c) P (x). P''' (x)
- d) a constant

**Answer: ****P (x). P''' (x)**

## More Study Material

### BITSAT Full Syllabus Mathematics Continuity and Differentiability MCQs

We hope students liked the above MCQs for Continuity and Differentiability designed as per the latest syllabus for Full Syllabus Mathematics released by BITSAT. Students of Full Syllabus should download the Multiple Choice Questions and Answers in Pdf format and practice the questions and solutions given in above Full Syllabus Mathematics MCQs Questions on daily basis. All latest MCQs with answers have been developed for Mathematics by referring to the most important and regularly asked topics which the students should learn and practice to get better score in school tests and examinations. Studiestoday is the best portal for Full Syllabus students to get all latest study material free of cost.

### MCQs for Mathematics BITSAT Full Syllabus Continuity and Differentiability

Expert teachers of studiestoday have referred to NCERT book for Full Syllabus Mathematics to develop the Mathematics Full Syllabus MCQs. If you download MCQs with answers for the above chapter daily, you will get higher and better marks in Full Syllabus test and exams in the current year as you will be able to have stronger understanding of all concepts. Daily Multiple Choice Questions practice of Mathematics and its study material will help students to have stronger understanding of all concepts and also make them expert on all critical topics. You can easily download and save all MCQs for Full Syllabus Mathematics also from www.studiestoday.com without paying anything in Pdf format. After solving the questions given in the MCQs which have been developed as per latest course books also refer to the NCERT solutions for Full Syllabus Mathematics designed by our teachers

**Continuity and Differentiability MCQs Mathematics BITSAT Full Syllabus**

All MCQs given above for Full Syllabus Mathematics have been made as per the latest syllabus and books issued for the current academic year. The students of Full Syllabus can refer to the answers which have been also provided by our teachers for all MCQs of Mathematics so that you are able to solve the questions and then compare your answers with the solutions provided by us. We have also provided lot of MCQ questions for Full Syllabus Mathematics so that you can solve questions relating to all topics given in each chapter. All study material for Full Syllabus Mathematics students have been given on studiestoday.

**Continuity and Differentiability BITSAT Full Syllabus MCQs Mathematics**

Regular MCQs practice helps to gain more practice in solving questions to obtain a more comprehensive understanding of Continuity and Differentiability concepts. MCQs play an important role in developing understanding of Continuity and Differentiability in BITSAT Full Syllabus. Students can download and save or print all the MCQs, printable assignments, practice sheets of the above chapter in Full Syllabus Mathematics in Pdf format from studiestoday. You can print or read them online on your computer or mobile or any other device. After solving these you should also refer to Full Syllabus Mathematics MCQ Test for the same chapter

**BITSAT MCQs Mathematics Full Syllabus Continuity and Differentiability**

BITSAT Full Syllabus Mathematics best textbooks have been used for writing the problems given in the above MCQs. If you have tests coming up then you should revise all concepts relating to Continuity and Differentiability and then take out print of the above MCQs and attempt all problems. We have also provided a lot of other MCQs for Full Syllabus Mathematics which you can use to further make yourself better in Mathematics

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Multiple Choice Questions (MCQs) for Continuity and Differentiability Full Syllabus Mathematics are objective-based questions which provide multiple answer options, and students are required to choose the correct answer from the given choices.