NCERT Solutions for Class 12 Maths Chapter 10 Vector Algebra Exercise 10.2

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Jasmine Grover

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NCERT Solutions for Class 12 Maths Chapter 10 Vector Algebra Exercise 10.2 is covered in this article with a detailed explanation. Chapter 10 Vector Algebra Exercise 10.2 covers basic concepts of addition of vectors, property of vector addition, and multiplication of a vector by a scalar.

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Class 12 Chapter 10 Vector Algebra Topics:

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CBSE CLASS XII Related Questions

  • 1.
    For \[ f(x)=x+\frac{1}{x}, \quad x\neq 0. \]

      • local maximum value is 2
      • local minimum value is \( -2 \)
      • local maximum value is \( -2 \)
      • local minimum value \( < \) local maximum value

    • 2.

      Sports car racing is a form of motorsport which uses sports car prototypes.The competition is held on special tracks designed in various shapes. 

      The equation of a sports car racing track is given as: \[ f(x)= \begin{cases} x^4-4x^2+4, & 0\leq x<3,\\ x^2+40, & x\geq 3 \end{cases} \] Based on this information:


        • 3.
          Assertion (A) : In an experiment of throwing an unbiased die, the probability of getting a prime number given that number appearing on the die being odd is \( \frac{2}{3} \).
          Reason (R) : For any two events \( A \) and \( B \), \( P(A|B) = \frac{P(A \cup B)}{P(B)} \).

            • Both Assertion (A) and Reason (R) are true and the Reason (R) is the correct explanation of the Assertion (A).
            • Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of the Assertion (A).
            • Assertion (A) is true and Reason (R) is false.
            • Assertion (A) is false and Reason (R) is true.

          • 4.
            In a school, the probability of holding a debate competition is \( \frac{1}{3} \) and that of a quiz competition is \( \frac{2}{3} \). In the two participating teams, A has 4 girls and 6 boys and B has 7 girls and 3 boys. If a debate competition is held, the students are selected from team A and for the quiz competition they are selected from team B. If only two students are to be chosen from the teams, then find the probability that one will be a girl and the other a boy.


              • 5.

                Check whether \[ f:\mathbb{R}-\{3\}\rightarrow\mathbb{R} \] defined as \[ f(x)=\frac{x-2}{x-3} \] is onto or not. 


                  • 6.
                    For a square matrix \(A\), \[ (3A)^{-1}= \]

                      • \( 3A^{-1} \)
                      • \( 9A^{-1} \)
                      • \( \frac{1}{3} A^{-1} \)
                      • \( \frac{1}{9} A^{-1} \)
                    CBSE CLASS XII Previous Year Papers

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