Question

5.
Write all possible auxiliary formulae for A=1/2d(a+b)​

Answer 1

A solution is defined as a:

A .

Homogeneous mixture of two or more substances

B .

Heterogeneous mixture of two or more substances

C .

Homogeneous mixture of liquid and solid components only

D .

Homogeneous mixture consisting of water as one of the components

A solution is a homogeneous mixture of two or more substances. A solution may exist in any phase. 

A solution consists of a solute and a solvent. 

The solute is the substance that is dissolved in the solvent.

For example, in a saline solution, salt is the solute dissolved in water as the solvent.

Answer 2

There are three possible auxiliary formulae for A=1/2d(a+b). They are:

d = 2A/(a+b)

b = 2A/d - a

a = 2A/d - b

Given,

A=1/2d(a+b)

To find,

The possible auxiliary formulae for A=1/2d(a+b)​

Solution,

The given expression is A=1/2d(a+b)

This can be written as,

2A = d (a+b)

where,

d = 2A/(a+b)

This is the first auxiliary formulae for A=1/2d(a+b)​

Similarly 2A = d (a+b) can also be written as,

2A/d = a+b

where,

b = 2A/d - a

This is the second auxiliary formula for A=1/2d(a+b)​

From the above expression, we can also get the equation of a.

a = 2A/d - b

Hence, There are three possible auxiliary formulae for A=1/2d(a+b). They are:

d = 2A/(a+b)

b = 2A/d - a

a = 2A/d - b

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