NCERT Solutions for Class 12 Maths Chapter 5 Continuity and Differentiability Exercise 5.7

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NCERT Solutions for Class 12 Maths Chapter 5 Continuity and Differentiability Exercise 5.7 is covered in this article. Exercise 5.7 emphasizes the topic, Second Order Derivative. NCERT Solutions for Class 12 Maths Chapter 5 will carry a weightage of around 8-17 marks in the CBSE Term 2 Exam 2022. NCERT has provided a total of 17 problems and solutions based on the important topic covered in this exercise. 

Download PDF NCERT Solutions for Class 12 Maths Chapter 5 Continuity and Differentiability Exercise 5.7

NCERT Solutions for Class 12 Maths Chapter 5: Important Topics

Important topics covered in the Continuity and Differentiability chapter are:

  • Mean Value Theorem
  • Rolle’s Theorem
  • Limits
  • Euler’s Number
  • Quotient Rule

Also check: NCERT Solutions for Class 12 Maths Chapter 5 Continuity and Differentiability

Other Exercise Solutions of Class 12 Maths Chapter 5 Continuity and Differentiability

Exercise 5.1 Solutions 34 Questions (Short Answers)
Exercise 5.2 Solutions 10 Questions(Short Answers)
Exercise 5.3 Solutions 15 Questions ( Short Answers)
Exercise 5.4 Solutions 10 Questions (Short Answers)
Exercise 5.5 Solutions 18 Questions ( Short Answers)
Exercise 5.6 Solutions 11 Questions (Short Answers)
Exercise 5.7 Solutions 17 Questions (Short Answers)
Exercise 5.8 Solutions 6 Questions (Short Answers)
Miscellaneous Exercise Solutions 23 Questions (6 Long Answers, 17 Short Answers)

Chapter 5 Continuity and Differentiability Topics:

CBSE Class 12 Mathematics Study Guides:

CBSE CLASS XII Related Questions

  • 1.

    Smoking increases the risk of lung problems. A study revealed that 170 in 1000 males who smoke develop lung complications, while 120 out of 1000 females who smoke develop lung related problems. In a colony, 50 people were found to be smokers of which 30 are males. A person is selected at random from these 50 people and tested for lung related problems. Based on the given information answer the following questions: 

    (i) What is the probability that selected person is a female? 
    (ii) If a male person is selected, what is the probability that he will not be suffering from lung problems? 
    (iii)(a) A person selected at random is detected with lung complications. Find the probability that selected person is a female. 
    OR 
    (iii)(b) A person selected at random is not having lung problems. Find the probability that the person is a male. 
     


      • 2.
        Evaluate : \[ \int_{-\frac{\pi}{6}}^{\frac{\pi}{3}}(\sin|x|+\cos|x|)\,dx \]


          • 3.
            Find : \[ \int \frac{2x+1}{\sqrt{x^2+6x}}\,dx \]


              • 4.
                Evaluate : \[ \int_{\frac{1}{12}}^{\frac{5}{12}} \frac{dx}{1+\sqrt{\cot x}} \]


                  • 5.
                    A line passing through the points \(A(1,2,3)\) and \(B(6,8,11)\) intersects the line \[ \vec r = 4\hat i + \hat j + \lambda(6\hat i + 2\hat j + \hat k) \] Find the coordinates of the point of intersection. Hence write the equation of a line passing through the point of intersection and perpendicular to both the lines.


                      • 6.
                        Mother, Father and Son line up at random for a family picture. Let events \(E\): Son on one end and \(F\): Father in the middle. Find \(P(E/F)\).

                          CBSE CLASS XII Previous Year Papers

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