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

Download PDF NCERT Solutions for Class 11 Maths Chapter 10 Straight Lines Exercise 10.2

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CBSE CLASS XII Related Questions

  • 1.
    Find:

    The shortest distance between the lines: \[ \vec{r}=(4+\lambda)\hat{i}+(2\lambda-1)\hat{j}-3\lambda\hat{k} \] and \[ \vec{r}=(1+2\mu)\hat{i}+(4\mu-1)\hat{j}+(2-5\mu)\hat{k} \]


      • 2.

        An NGO organises a charity event in which they decide to distribute woollen caps to protect children from winter. The caps to be distributed are in three separate boxes, Box I has 30 red caps, Box II has 20 red and 10 green caps, and Box III has 30 green caps. The probability that a Box i is selected and a cap picked out is i/6, where i = 1, 2, 3.  
        Based on the above information, answer the following questions :


          • 3.

            A carpenter needs to design a wooden box in the shape of a cuboid such that the sum of its length and breadth is 3 cm more than its height. Twice of its length, thrice of its breadth and its height add up to 10 cm. Its breadth added to 7 times its height is 1 cm less than 3 times its length. 


              • 4.
                Using integration, find the area of the region bounded by the curve \( y = x|x| \), the x-axis, and the vertical lines \( x = -2 \) and \( x = 2 \).


                  • 5.
                    Find: \[ \int \frac{x^2}{(x^2-1)(x^2+4)}\,dx \]


                      • 6.
                        Find:

                        If \[ (3\hat{i}-2\hat{j}+5\hat{k})\times(4\hat{i}+p\hat{j}+q\hat{k})=\vec{0} \] then find the values of \(p\) and \(q\).

                          • \(p = -\frac{2}{3}, \, q = \frac{5}{3}\)
                          • \(p = -\frac{8}{3}, \, q = \frac{20}{3}\)
                          • \(p = \frac{20}{3}, \, q = -\frac{8}{3}\)
                          • \(p = 0, \, q = 0\)
                        CBSE CLASS XII Previous Year Papers

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