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Find the mean propotional between √3 and √7 |
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Answer» Answer: Two variables are in direct proportion if the ratio of the values of these two variables is constant. ⇒ If two variables x and y are in direct proportion, then xy=k, where k is a constant. An example is distance and time, where speed is constant. The ratio of distance and time =distancetime= speed, which is constant. Two variables are said to be proportional if there is a constant ratio between them, as in direct proportion. Three numbers are said to be proportional is the product of the first and third numbers is equal to the square of the second number. The numbers 10,20 and 40 are proportional because 10×40=202. The third proportional of two numbers a and b is a number C, such that ab=bc ⇒c=b2a. The fourth proportional of numbers a,b and c is a number d, such that ab=cd. ⇒d=bca. Two variables are in inverse proportion if the product of the values of these two variables is constant. ⇒ If two variables x and y are in inverse proportion, then xy=c, where c is a constant. An example is speed and time, where distance is constant. The product of speed and time = speed × time = distance, which is constant. |
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