NCERT Solutions for Class 10 Maths Chapter 2 Polynomials Exercise 2.4

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NCERT Solutions for Class 10 Maths Chapter 2 Polynomials Exercise 2.4 is given in this article. Class 10 Maths Chapter 2 Exercise 2.3 has 5 exercise questions that cover various important concepts of polynomials such as degree of a polynomial, zeroes of a polynomial and roots of polynomials

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Class 10 Chapter 2 Polynomials Topics:

CBSE Class 10 Maths Study Guides:

CBSE X Related Questions

1.

The lengths of 40 leaves of a plant are measured correct to the nearest millimetre, and the data obtained is represented in the following table :

Length (in mm)

Number of leaves

118 - 126

3

127 - 135 

5

136 - 144

9

145 - 153

12

154 - 162

5

163 - 171

4

172 - 180

2

Find the median length of the leaves. 
(Hint : The data needs to be converted to continuous classes for finding the median, since the formula assumes continuous classes. The classes then change to 117.5 - 126.5, 126.5 - 135.5, . . ., 171.5 - 180.5.)

      2.
      Which of the following are APs? If they form an AP, find the common difference d and write three more terms.
      (i) 2, 4, 8, 16, . . . .
      (ii) \(2, \frac{5}{2},3,\frac{7}{2}\), . . . .
      (iii) – 1.2, – 3.2, – 5.2, – 7.2, . . . .
      (iv) – 10, – 6, – 2, 2, . . .
      (v) 3, \(3 + \sqrt{2} , 3 + 3\sqrt{2} , 3 + 3 \sqrt{2}\) . . . .
      (vi) 0.2, 0.22, 0.222, 0.2222, . . . .
      (vii) 0, – 4, – 8, –12, . . . .
      (viii) \(\frac{-1}{2}, \frac{-1}{2}, \frac{-1}{2}, \frac{-1}{2}\), . . . .
      (ix) 1, 3, 9, 27, . . . .
      (x) a, 2a, 3a, 4a, . . . .
      (xi) a, \(a^2, a^3, a^4,\)  . . . .
      (xii) \(\sqrt{2}, \sqrt{8} , \sqrt{18} , \sqrt {32}\) . . . .
      (xiii) \(\sqrt {3}, \sqrt {6}, \sqrt {9} , \sqrt {12}\) . . . . .
      (xiv) \(1^2 , 3^2 , 5^2 , 7^2\), . . . .
      (xv) \(1^2 , 5^2, 7^2, 7^3\), . . . .

          3.
          A vessel is in the form of an inverted cone. Its height is 8 cm and the radius of its top, which is open, is 5 cm. It is filled with water up to the brim. When lead shots, each of which is a sphere of radius 0.5 cm are dropped into the vessel, one-fourth of the water flows out. Find the number of lead shots dropped in the vessel.

              4.

              The following frequency distribution gives the monthly consumption of electricity of 68 consumers of a locality. Find the median, mean and mode of the data and compare them

              Monthly consumption 
              (in units)

               Number of consumers

              65 - 85 

              4

              85 - 105

              5

              105 - 125

              13

              125 - 145

              20

              145 - 165

              14

              165 - 185

              8

              185 - 205

              4

                  5.
                  Check whether \(6n\) can end with the digit \(0\) for any natural number \(n\).

                      6.
                      A 1.5 m tall boy is standing at some distance from a 30 m tall building. The angle of elevation from his eyes to the top of the building increases from 30° to 60° as he walks towards the building. Find the distance he walked towards the building.

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