Advertisements
Advertisements
प्रश्न
Find the mean proportion of: (a – b) and (a³ – a²b), a> b
Advertisements
उत्तर
Let x be the mean proportion to
(a – b) and (a³ – a²b), a> b
then (a - b) : x : : x: (a3 – a2b)
x2 = (a – b) (a3 – a2b)
= (a – b) a2 (a – b) = a2 (a – b)2
∴ x = a (a – b)
Hence the mean proportion = a (a – b).
APPEARS IN
संबंधित प्रश्न
Find the third proportional to a2 – b2 and a + b.
Determine if the following numbers are in proportion:
22, 33, 42, 63
Verify the following:
108 : 72 : : 129 : 86
Show that the following numbers are in continued proportion:
36, 90, 225
If a, b, c are in proportion, then
If b is the mean proportional between a and c, prove that a, c, a² + b², and b² + c² are proportional.
`square` : 24 : : 3 : 8
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
Write the mean and extreme terms in the following ratios and check whether they are in proportion.
400 gm is to 50 gm and 25 rupees is to 625 rupees
Write True (T) or False (F) against the following statement:
12 : 18 : : 28 : 12
