Advertisements
Advertisements
प्रश्न
Write the mean and extreme terms in the following ratios and check whether they are in proportion.
78 litre is to 130 litre and 12 bottles is to 20 bottles
उत्तर
78 : 130, 12 : 20
Product of the means = 78 × 20
= 1560
Product of the extremes = 130 × 12
= 1560
a × d = b × c
∴ They are in proportion
APPEARS IN
संबंधित प्रश्न
If y is the mean proportional between x and z; show that xy + yz is the mean proportional between x2 + y2 and y2 + z2.
Given, `x/(b - c ) = y/(c - a ) = z/(a - b)` , Prove that
ax+ by + cz = 0
Check whether the following numbers are in continued proportion.
3, 5, 8
Find the smallest number that must be subtracted from each of the numbers 20, 29, 84 and 129 so that they are in proportion.
Find two nurnbers whose mean proportional is 12 and the third proportional is 324.
If a, b, c and dare in continued proportion, then prove that
`sqrt (("a + b + c")("b + c + d")) = sqrt "ab" + sqrt "bc" + sqrt "cd"`
Determine if the following numbers are in proportion:
22, 33, 42, 63
Write (T) for true and (F) for false in case of the following:
51 : 68 : : 85 : 102
A car travels 195 km in 3 hours.
(i) How long will it take to travel 520 km?
(ii) How far will it travel in 7 hours at the same speed?
Write True (T) or False (F) against the following statement:
8 : 9 : : 24 : 27
