NCERT Solutions for Class 11 Maths Chapter 10 Exercise 10.2

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Class 11 Maths NCERT Solutions Chapter 10 Straight Lines Exercise 10.2 is based on forms of Equation of a Line. Following concepts are covered under this topic:

  • Horizontal and vertical lines
  • Point-slope form
  • Two-point form
  • Slope-intercept form

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CBSE CLASS XII Related Questions

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

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

    • 2.

      Find the domain of \[ q(x)=\cos^{-1}(4x^2-3). \] Hence, find the value of \(x\) for which \[ q(x)=0. \] Also, write the range of \[ 3q(x)-\pi. \] 


        • 3.

          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.

          • 4.

            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:


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


                  • 6.
                    If \[ \frac{d}{dx}(F(x))=\frac{1}{e^x+1}, \] then find \(F(x)\), given that \[ F(0)=\log\left(\frac{1}{2}\right). \]

                      CBSE CLASS XII Previous Year Papers

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