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
If `(m + n)/(m + 3n) = 2/3`, find : `(2n^2)/(3m^2 + mn)`.
Find the compound ratio of 2 : 3, 9 : 14 and 14 : 27
Find sub-triplicate ratio of x3 : 125y3
Find the reciprocal ratio of e following :
a3b2 : a2b3
What quantity must be added to each term of the ratio 19 : 51 to make it equal to 3 : 7 ?
If x and y be unequal and x: y is the duplicate ratio of (x + z) and (y + z) prove that z is mean proportional between x and y.
In a club has 360 members, 40 play carrom, 96 play table tennis, 144 play badminton, and remaining members play volley-ball. If no member plays two or more games, find the ratio of members who play:
(i) carrom to the number of those who play badminton.
(ii) badminton to the number of those who play table-tennis.
(iii) table-tennis to the number of those who play volley-ball.
(iv) volleyball to the number of those who play other games.
If 25, 35 and x are in continued proportion, find the value of x.
12 hours : 30 hours = 8 km : 20 km
In a college, out of 4320 students, 2300 are girls. Find the ratio of number of girls to the total number of students.
