Advertisements
Advertisements
प्रश्न
If m : n is the duplicate ratio of m + x : n + x; show that x2 = mn.
Advertisements
उत्तर
`m/n = (m + x)^2/(n + x)^2`
`m/n = (m^2 + x^2 + 2mx)/(n^2 + x^2 + 2nx)`
mn2 + mx2 + 2mnx = m2n + nx2 + 2mnx
mn2 – m2n + mx2 – nx2 = 0
mn(m – n) – x2(m – n) = 0
x2(m – n) = mn(m – n)
x2 = mn
संबंधित प्रश्न
Find the compounded ratio of the following:
(m-n):(m+n), (m+n)2 : (m2+n2) and (m4 - n4): (m2-n2) 2
A cistern of milk caitains a mixture of milk and water in the ratio of 11 :4. If the cistern contains 60 litres of milk, how much more water must be added to make the
ratio of milk to water as 11:6 ?
Reduce the following ratio to their lowest term:
3 years 4 months : 5 years 5 months.
The costs of the two articles are in the ratio 7 : 4. If the cost of the first article is Rs. 2,800; find the cost of the second article.
In the example below, find the ratio of the first number to the second.
35, 65
A 35-cm line segment is divided into two parts in the ratio 4 : 3. Find the length of each part.
Consider the statement: Ratio of breadth and length of a hall is 2 : 5. Complete the following table that shows some possible breadths and lengths of the hall.
|
Breadth of the hall (in metres) |
10 |
`square` |
40 |
|
Length of the hall (in metres) |
25 |
50 |
`square` |
Given below is a Mathematical term.
Find the ratio of consonants to vowels in the term.
Which of the following correctly represents the ratio of 15 to 20?
