Advertisements
Advertisements
प्रश्न
Find the mean proportional to (x – y) and (x3 – x2y).
Advertisements
उत्तर
Let the mean proportional to (x – y) and (x3 – x2y) be n.
`=>` (x – y), n, (x3 – x2y) are in continued proportional
`=>` (x – y) : n = n : (x3 – x2y)
`=>` n2 = x2(x – y)(x – y)
`=>` n2 = x2(x – y)2
`=>` n = x(x – y)
APPEARS IN
संबंधित प्रश्न
If a, b and c are in continued proportion, prove that `(a^2 + b^2 + c^2)/(a + b + c)^2 = (a - b + c)/(a + b + c)`
Find the third proportion to the following :
`9/25` and `18/25`
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"`
If 9 kg of rice costs Rs 327.60, what will be the cost of 50 kg of rice?
In a fort, 550 men had provisions for 28 days. How many days will it last for 700 men?
If a, b, c are in continued proportion, prove that: a : c = (a2 + b2) : (b2 + c2)
Choose the correct answer from the given options :
The fourth proportional to 3, 4, 5 is
Are 30, 40, 45, and 60 in proportion?
10 books is to 15 books as 3 books is to 15 books
Write True (T) or False (F) against the following statement:
21 : 6 : : 35 : 10
