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Physics

• MECHANICS 
  
   
  
  
  
  
  • Physics by H.C. Verma 
    
    
    
    Problems in physics by I.E. Irodov 
    
    
    
    Resnick and Halliday
    
    ELECRICITY AND MAGNETISM 
    
     
  
  
  
  
  
  
  
  • Resnick and Halliday Circuits devices and systems by R.J. Smith 
    
    
    
    
    
    
    
    Problems in physics by I.E. Irodov
    
    
    
     
    
     
  
  
  
  


• OPTICS 
  
  
  
   
  
  
  
  
  
  
  • Physics by H.C. Verma
    
    
    
     
    
     
  
  
  
  


• MODERN PHYSICS 
  
  
  
   
  
  
  
  
  • Physics by H.C. Verma 
    
    
    
     
    
     
  
  
  • Problems in Physics by I.E. Irodov
    
    HEAT AND WAVES 
    
    
    
     
    
    
    
    
    
    
    • Physics by H.C. Verma 
      
      
      
       
      
       
    
    
    • Resnick and Halliday
      
      
      
      
      
      
      
      Chemistry 
      
      
      
       
      
       
    
    
    
    
  
  
  
  


• ORGANIC CHEMISTRY
  
  
  
  
  
  
  
  
  • Morrison & Boyd 
    
    
    
     
  
  
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  • Reaction mechanism in Organic Chemistry by Parmar ∓ Chawla
    
    
    
    
    
     
  
  
  
  


• INORGANIC CHEMISTRY 
  
  
  
   
  
  
  
  
  • NCERT Inorganic Chemistry 
    
     
  
  
  • Concise Inorganic Chemistry by J.D. Lee 
    
    
    
     
  
  
  • IIT Chemistry by O.P. Aggarwal
    
    
    
    
    
     
    
    GENERAL CHEMISTRY 
    
    
    
     
  
  
  
  
  
  
  
  
  
  
  
  • J.D. Lee 
    
     
    
     
  
  
  • O.P. Aggarwal 
    
    
    
     
  
  
  • R.C.Mukerjee
    
    
    
     
  
  
  
  

Maths

• ALGEBRA 
  
  
  
   
  
  
  
  
  
  
  • High school mathematics by Hall and Knight 
    
     
  
  
  • IIT Maths by M.L. Khanna
    
    
    
     
  
  
  
  


• CALCULUS amp; ANALYTIC GEOMETRY 
  
  
  
   
  
  
  
  
  
  
  • G.N.Berman 
    
    
    
     
    
     
  
  
  • Calculus and analytic geometry by Thomas and Finney 
    
    
    
     
  
  
  • Coordinate geometry by Loney 
    
    
    
     
  
  
  • IIT Maths by M.L. Khanna 
    
    
    
     
  
  
  • I.A.Maron
    
     
    
     
  
  
  
  


• VECTORS 
  
  
  
   
  
  
  
  
  • IIT Maths by M.L. Khanna
    
     
  
  
  
  

1.HBTI,kanpur

2.IET,lucknow

3.MMMIT.gorakhpur

4.Kamla Nehru institute of tech.sultanpur

5.Bundel Khand university ,jhasi

6.kanpur textile

7.JSS noida

8.Galgotia nodia

9.AKGIT

10.BBDIMT lucknow

The name derives from the shapes of the circuit  diagrams

The Y-Δ transform, also written Y-delta, Wye-delta, Kennelly’s delta-star transformation, star-mesh transformation, T-Π or T-pi transform, is a mathematical technique to simplify the analysis of an electrical network.

The transformation is used to establish equivalence for networks with 3 terminals. Where three elements terminate at a common node and none are sources, the node is eliminated by transforming the impedances. For equivalence, the impedance between any pair of terminals must be the same for both networks. The equations given here are valid for real as well as complex impedances.

Given “g” be the function defined on the set of all real numbers by

 g(x)=1, If x is rational and g(x)=exp(x) , if x is irrational,

Now, at x = 0 since 0 is rational number g(x) =1

 

At h tending to 0 or h--->0,

Now RHL = Lim h--->0  g(0+h)

there are two possibilities

a) either h = rational, if so, Lim h--->0  g(0+h) = 1

b) or h = irrational, then Lim h--->0  g(0+h) = exp (h) = exp (0) = 1

Similarly we can prove that Left hand limit, LHL = Lim h--->0  g(0-h) = 1

thus we see that, RHL = LHL

Hence g(x) is continuous at 0.

The list is long, Here it goes

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