conditions of use

Using (iv), (v) and (vi), we get - h a 3 h- h b 3 k- h c 3 =0 or a 3 h+b 3 k+c 3 =0 So, the three lines are concurrent. Thus, the condition for the three lines L 1 = 0, L 2 = 0 and L 3 = 0 to be concurrent is l L 1 + m L 2 + h L 3 =..

In the above topics many identities have been discussed. They are true for all values of the angles for which trigonometric functions are defined. In this section we prove identities, where a certain relationship exists among the angles considered. Many interesting and important identit..

In the previous sections many identities have been discussed. They are true for all values of the angles for which trigonometric functions are defined. In this section we prove identities, where a certain relationship exists among the angles considered. Many interesting and important identities are..

When we need to express a choice between two words or phrases we use 'or'. Here only one of the two conditions exist..

Lydia likes to sing and dance when she is happy . We can paint our house red or white but we must select a good painter. Harry is intelligent however he is lazy. He must wake up or he will regret it. I left the party because I was bored, moreover it was quite late. He..

There are two types of heat engines: external combustion engines and internal combustion engines. Steam engine is an example of external combustion engine. In such an engine, the fuel is burnt outside the working portion of the engine. A heat engine consists essentially of the following parts: i)..

Flash Point of a Hydrocarbon - The explosive nature of a hydrocarbon is determined by its volatility. The volatility of any liquid depends upon the temperature. 'The flash point of any liquid is the lowest temperature at which a liquid hydrocarbon gives off enough vapor to form an explosive mixture..

Introduction - Suppose the two events are not independent, that is the occurrence of one depends on the occurrence of other, then how do we compute This can be explained by conditional probability. Baye's theorem is named after the British mathematician Thomas Bayes who published it in a ..

Food Standards - To prevent adulteration and to maintain availability of good quality food stuff, the government has set up certain institutions for standardization. They are: Codex Alimentarius Prevention of Food Adulteration Act (PFA) The Agmark Standards Bureau of Indian Standards (BIS) These in..

A formula is formed by using: (a) mathematical symbols and variables (b) given conditions, and (c) simplificatio..