NCERT Solutions for Class 11 Maths Chapter 10 Exercise 10.3

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Class 11 Maths NCERT Solutions Chapter 10 Straight Lines Exercise 10.3 is based on forms of Equation of a Line. Following concepts are covered under this topic:

  • General Equation of a Line
  • Distance of a Point From a Line

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CBSE CLASS XII Related Questions

  • 1.

    Check whether the function \[ f(x)= \begin{cases} \dfrac{|x-3|}{2(x-3)}, & x<3,\\[6pt] \dfrac{x-6}{6}, & x\geq 3 \end{cases} \] is continuous at \(x=3\) or not. 


      • 2.

        For two vectors \(\vec{a}\) and \(\vec{b}\):  

        Assertion (A): \[ |\vec{a}\times\vec{b}|^2+(\vec{a}\cdot\vec{b})^2 = |\vec{a}|^2|\vec{b}|^2 \] Reason (R): \[ |\vec{a}\times\vec{b}| = (\vec{a}\cdot\vec{b})\tan\theta, \quad \theta\neq\frac{\pi}{2}. \]

          • 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, but Reason (R) is false.
          • Assertion (A) is false, but Reason (R) is true.

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

            • \( 3A^{-1} \)
            • \( 9A^{-1} \)
            • \( \frac{1}{3} A^{-1} \)
            • \( \frac{1}{9} A^{-1} \)

          • 4.
            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.

            • 5.
              Find: \[ \int \frac{x^2}{(x^2+9)(x^2+16)}\,dx \]


                • 6.
                  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
                  CBSE CLASS XII Previous Year Papers

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