Advertisements
Advertisements
Question
Find the mean proportional to (x – y) and (x3 – x2y).
Advertisements
Solution
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
RELATED QUESTIONS
Find the mean proportional between a – b and a3 – a2b
If x2, 4 and 9 are in continued proportion, find x.
If a, b, c and dare in continued proportion, then prove that
ad (c2 + d2) = c3 (b + d)
What number must be added to each of the numbers 5, 11, 19 and 37 so that they are in proportion?
If 9 kg of rice costs Rs 327.60, what will be the cost of 50 kg of rice?
The ratio of boys and girls in a school is 12 : 5. If the number of girls is 840, the total strength of the school is
If a, b, c are in continued proportion, prove that: `(pa^2+ qab+ rb^2)/(pb^2+qbc+rc^2) = a/c`
The length and breadth of a school ground are 150 m and 90 m respectively, while the length and breadth of a mela ground are 210 m and 126 m, respectively. Are these measurements in proportion?
The mean proportional between 4 and 9 is ______.
The mean proportional to `sqrt(3) + sqrt(2)` and `sqrt(3) - sqrt(2)` is ______.
