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Class 12-science RD SHARMA Solutions Maths Chapter 14: Differentials, Errors and Approximations

Differentials, Errors and Approximations Exercise MCQ

Solution 13

Given:

  

As x changes from 2 to 1.99, we have

  

  

Thus, the approximate change in y is 0.32.

Solution 1

Correct option: (a)

  

Solution 2

Correct option: (a)

  

Solution 3

Correct option: (b)

  

Solution 4

Correct option: (c)

  

Solution 5

Correct option: (b)

  

Solution 6

Correct option: (c)

  

Solution 7

Correct option: (c)

  

Solution 8

Correct option: (c)

  

Solution 9

Correct option: (c)

  

Solution 10

Correct option: (d)

  

Solution 11

Correct option: (a)

Solution 12

Correct option: (a)

  

Differentials, Errors and Approximations Exercise Ex. 14.1

Solution 1

Solution 2

Solution 3

Solution 4

Solution 5

Solution 6

Solution 7


Solution 8

Solution 9(ii)

Solution 9(iii)

Solution 9(iv)

Solution 9(v)

Solution 9(vi)

Solution 9(vii)

Solution 9(viii)

Solution 9(ix)

Solution 9(x)

Solution 9(xi)


Solution 9(xii)

Solution 9(xiii)

Solution 9(xiv)

Solution 9(xv)

Solution 9(xvi)

Solution 9(xvii)

Solution 9(xviii)

Solution 9(xix)

Solution 9(xx)

Solution 9(xxi)

Solution 9(xxii)

Solution 9(xxiii)

Solution 9(xxiv)

Solution 9(xxv)

Solution 9(xxvi)

Solution 9(xxvii)

Solution 9(xxviii)

Solution 9(xxix)

Solution 10

Solution 11

Solution 12

Solution 13

Solution 14

Solution 15

Solution 16


Solution 9(i)

Consider

Let x = 25 and

  

  

Also,

  

Differentials, Errors and Approximations Exercise Ex. 14VSAQ

Solution 1

Solution 2

Solution 3

Solution 4

Solution 5

Solution 6

Given:

  

For the approximate values

  

Thus, f(2.1) = 9.2.