The ‘Drafting Committee’ chaired by Dr BR Ambedkar prepared a draft of the Indian Constitution for discussion. Several rounds of discussion took place on the Draft Constitution, clause by clause. The members worked for 114 days spread over three years. More than two thousand amendments were considered. Every document presented and every word spoken in the Constituent Assembly has been recorded and preserved.

to hv or receive the advantage of profit is gain

cos 10° cos 30° cos 50° cos 70° = {tex}\frac{3}{16}{/tex}
LHS = cos 10° cos 30° cos 50° cos 70°
= cos 30° cos 10° cos 50° cos 70°
{tex}=\frac{\sqrt{3}}{2}{/tex} (cos 10° cos 50° cos 70°)
{tex}=\frac{\sqrt{3}}{2}{/tex} (cos 10° cos 50°) cos 70°
{tex}=\frac{\sqrt{3}}{4}{/tex} (2 cos 10° cos 50°) cos 70° [Multiplying and dividing by 2]
Also,
{tex}\Rightarrow{/tex} 2 cos A cos B = cos (A + B) + cos (A - B) ...(i)
{tex}=\frac{\sqrt{3}}{4}{/tex} cos 70° {cos (50° + 10°) + cos (10° - 50°)}
{tex}=\frac{\sqrt{3}}{4}{/tex} cos 70° {cos 60° + cos (-40°)}
Now,
Cos (-x) = cos x
{tex}=\frac{\sqrt{3}}{4}{/tex} cos 70° [{tex}\frac {1} {2}{/tex} + cos 40°] [{tex}\because{/tex} cos 60° = {tex}\frac {1} {2}{/tex}]
{tex}=\frac{\sqrt{3}}{4}{/tex} cos 70° + {tex}\frac{\sqrt{3}}{4}{/tex} cos 70° cos 40°
{tex}=\frac{\sqrt{3}}{4}{/tex} cos 70° + {tex}\frac{\sqrt{3}}{8}{/tex} (2 cos 70° cos 40°)
{tex}= \frac{\sqrt{3}}{8}{/tex} [cos 70° + cos (70° + 40°) + cos (70° - 40°)] [from (i)]
{tex}= \frac{\sqrt{3}}{8}{/tex} [cos 70° + cos 110° + cos 30°]
{tex}= \frac{\sqrt{3}}{8}{/tex} [cos 70° + cos (180° - 70° + {tex}\frac{\sqrt{3}}{2}{/tex}]
{tex}= \frac{\sqrt{3}}{8}{/tex} [cos 70° - cos 70° + {tex}\frac{\sqrt{3}}{2}{/tex}] [{tex}\because{/tex} cos (180° - x) = - cos x]
{tex}=\frac{\sqrt{3}}{8} \times \frac{\sqrt{3}}{2}=\frac{3}{16}{/tex}
= RHS

Career option in physical education

1. Teaching related Career:
   1. Elementary school level
   2. Middle school level
   3. High school and senior sec. s. level
   4. College and university level
2. Coaching related Career:
   1. Administration related career
   2. Physical education department
   3. Sports department
   4. Industrial recreating
   5. Sports facilities
3. Health related career:
   1. Health club
   2. Athletic training
4. Performance related career:
   1. As professional players
   2. As official
5. Career in Communication and media:
   1. Sports journalism
   2. Book publication
   3. Sports photography
   4. Sports board casting

Personal errors: Errors occurring due to human carelessness, lack of proper setting, taking down incorrect reading are called personal errors.

These errors can be removed by:

• Taking proper instrument and calibrating it properly.
• Experimenting under proper atmospheric conditions and techniques.

Removing human bias as far as possible

The resources in an economy are scarce and they have alternate uses. A resource can be utilised in only one alternative. That means the best alternative is to be chosen. In doing so, we have to sacrifice the other alternatives. Thus, Opportunity cost of any commodity is the amount of other good which has been given up in order to produce that commodity. Alternatively opportunity cost of a given activity is the value of the next best activity.

Production Possibility Schedule

Initially at combination B, in order to produce one unit of X, the economy has to sacrifice one unit of Y. So, at combination B, opportunity cost is 1 unit of good Y which is sacrifice. . At combination C, for producing additional unit of commodity X, the economy has to sacrifice 2 units of commodity Y. So, at combination C, opportunity cost is 2 units, Similarly, at combination D, for producing additional unit of commodity X, the economy has to sacrifice 3 units of commodity Y. So, at combination C, opportunity cost is 3 units and so on.

They are pursuing their MBA from IIMT, Banaras. While having a coffee during break time, they were discussing their future plans. Anil said he is planning to help his father by joining his printing press after completing his MBA, Sunil on the other hand, wanted to get a job in some big company through institution placement cell. Since Payal loves children, she shared her willingness to join an NGO and use her knowledge and skill to help the under privileged children. (a) Identify and give two points of difference on any two basis between Anil’s and Sunil’s plan