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A combined equation of the two lines through the origin is a homogenous equation of second degree.
Let the two lines pass through the origin be y = m 1 x and y = m 2 x. i.e. y - m 1 x = 0 and y - m 2 x = 0 Their combined equation is This is clearly a homogenous equation of the second degree in x and y. … (i) Divide equation (1) by x 2 ,..
Propagation of sound waves in air from a tuning fork
A wave motion, in which the particles of the medium oscillate about their mean positions in the direction of propagation of the wave, is called longitudinal wave. Sound waves are classified as longitudinal waves. Let us now see how sound waves propagate. Take a tuning fork, vibrate it and concentr..
Coordinates
The coordinates of a point are quantities, which determine the position of the point. If for instance, a point P lies somewhere on a straight line XX', then its position may be defined by a single number in the following way: Choose some reference point O (or initial point)on XX' and measure the se..
Coordinates and Points
Coordinates - The coordinates of a point are quantities, which determine the position of the point. If for instance, a point P lies somewhere on a straight line XX', then its position may be defined by a single number in the following way: Choose some reference point O (or initial point)on XX' and ..
Straight lines and Family of Straight lines Introduction
> This is a homogeneous equation of second degree in x and y. A homogeneous equation of n t h degree in x and y represents n straight lines through the origin. Let This equation of n t h degree in x and y is a homogeneous equation and can be written in the form i.e. say This equ..
Apparent Loss of Mass
You must have seen that when substances like wood, wax, coal, oil, etc. are burnt, they seem to disappear, or leave a very small quantity of residue. It looks as if the mass is much lesser. Well, the loss of some mass of these substances is only apparent. As per the Law of conservation of masses, m..
Electromeric Effect
This is a temporary effect and takes place between two atoms joined by a multiple bond, i.e., a double or triple bond. It occurs at the requirements of the attacking reagent, and involves instantaneous transfer of a shared pair of electrons of the multiple bond to one of the linked atoms. It is tem..
Solution
The law of conservation of energy states that whenever one form of energy is lost, an equivalent amount of energy in another form appears, i.e. the energy is always conserved. If it were so, then there should have been no energy crisis? As our experience is altogether different, the explanation fo..
Introduction
The atmosphere resource of our world is unique and available to our planet only. No other planet is found to have similar atmosphere. Earth's atmosphere is a legacy from history of this planet. It was formed billions of years back. In the formative years, as the earth started cooling, it did not ha..
Expansion of Liquids
Liquids do not have a definite shape. They take the shape of the container. Thus, we can specify a liquid by its volume. Hence, we can speak of volume expansion only for liquids. Expansion of liquids is much greater than that of solids. A liquid is heated in a container. Heat flows through the co..
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