NCERT Solutions for Class 10 Maths Chapter 14 Statistics Exercise 14.4

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CBSE X Related Questions

1.
An umbrella has 8 ribs which are equally spaced (see Fig. 11.10). Assuming umbrella to be a flat circle of radius 45 cm, find the area between the two consecutive ribs of the umbrella.
An umbrella has 8 ribs which are equally spaced

      2.
      If 3 cot A = 4, check whether \(\frac{(1-\text{tan}^2 A)}{(1+\text{tan}^2 A)}\) = cos2 A – sinA or not

          3.
          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) \(1^2 , 5^2, 7^2, 7^3\), . . . .

              4.

              A vertical pole of length 6 m casts a shadow 4 m long on the ground and at the same time a tower casts a shadow 28 m long. Find the height of the tower.

                  5.

                  Solve the following pair of linear equations by the substitution method. 
                  (i) x + y = 14 
                      x – y = 4   

                  (ii) s – t = 3 
                      \(\frac{s}{3} + \frac{t}{2}\) =6 

                  (iii) 3x – y = 3 
                        9x – 3y = 9

                  (iv) 0.2x + 0.3y = 1.3 
                       0.4x + 0.5y = 2.3 

                  (v)\(\sqrt2x\) + \(\sqrt3y\)=0
                      \(\sqrt3x\) - \(\sqrt8y\) = 0

                  (vi) \(\frac{3x}{2} - \frac{5y}{3}\) =-2,
                      \(\frac{ x}{3} + \frac{y}{2}\) = \(\frac{ 13}{6}\)

                      6.
                      The angle of elevation of the top of a building from the foot of the tower is 30° and the angle of elevation of the top of the tower from the foot of the building is 60°. If the tower is 50 m high, find the height of the building.

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