NCERT Solutions for Class 12 Maths Chapter 7 Integrals Exercise 7.11

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NCERT Solutions for Class 12 Maths Chapter 7 Integrals Exercise 7.11 is covered in this article. This exercise of Chapter 7 is based on some properties of the definite integral. NCERT Solutions for Class 12 Maths Chapter 7 will carry a weightage of around 6-18 marks in the CBSE Term 2 Exam 2022. NCERT has provided a total of 21 problems and solutions based on the important topics of the exercise.

Download PDF NCERT Solutions for Class 12 Maths Chapter 7 Integrals Exercise 7.11

NCERT Solutions for Class 12 Maths Chapter 7: Important Topics

Important topics covered in Integrals Chapter are:

  • Double Integral
  • Continuous Integration
  • Properties of Definite Integral
  • Line Integral
  • Integrals of Particular Function

Also check: NCERT Solutions for Class 12 Maths Chapter 7 Integrals 

Other Exercises Solutions of Class 12 Maths Chapter 7 Integrals

Chapter 7 Integrals Topics:

CBSE Class 12 Mathematics Study Guides:

CBSE CLASS XII Related Questions

  • 1.

    Draw a rough sketch for the curve $y = 2 + |x + 1|$. Using integration, find the area of the region bounded by the curve $y = 2 + |x + 1|$, $x = -4$, $x = 3$, and $y = 0$.


      • 2.
        If \( \overrightarrow{a} + \overrightarrow{b} + \overrightarrow{c} = 0 \), \( |\overrightarrow{a}| = \sqrt{37} \), \( |\overrightarrow{b}| = 3 \), and \( |\overrightarrow{c}| = 4 \), then the angle between \( \overrightarrow{b} \) and \( \overrightarrow{c} \) is:

          • \( \frac{\pi}{6} \)
          • \( \frac{\pi}{4} \)
          • \( \frac{\pi}{3} \)
          • \( \frac{\pi}{2} \)

        • 3.
          Let $|\vec{a}| = 5 \text{ and } -2 \leq \lambda \leq 1$. Then, the range of $|\lambda \vec{a}|$ is:

            • [5, 10]
            • [-2, 5]
            • [-1, 5]
            • [10, 5]

          • 4.
            Let both $AB'$ and $B'A$ be defined for matrices $A$ and $B$. If the order of $A$ is $n \times m$, then the order of $B$ is:

              • $n \times n$
              • $n \times m$
              • $m \times m$
              • $m \times n$

            • 5.
              A coin is tossed twice. Let $X$ be a random variable defined as the number of heads minus the number of tails. Obtain the probability distribution of $X$ and also find its mean.


                • 6.
                  If \( \int \frac{1}{2x^2} \, dx = k \cdot 2x + C \), then \( k \) is equal to:

                    • \( -1 \)
                    • \( \log 2 \)
                    • \( -\log 2 \)
                    • \( 1/2 \)
                  CBSE CLASS XII Previous Year Papers

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