Advertisements
Advertisements
प्रश्न
If p + r = 2q and `(1)/q + (1)/s = (2)/r`, then prove that p : q = r : s.
Advertisements
उत्तर
`(1)/q + (1)/s = (2)/r`
⇒ `(s + q)/(qs) = (2)/r`
⇒ 2qs = r(s + q)
⇒ (p + r)s = r(s + q)
⇒ ps + rs = rs + rq
⇒ ps = rq
⇒ `p/q = r/s`.
Hence proved.
APPEARS IN
संबंधित प्रश्न
Find the sub-triplicate ratio of the following :
`(64 "m"^3)/(729 "n"^3) : (216 "m"^3)/(27"n"^3)`
Show that the value of x is 11, when `("x"^3 + "3x")/(3"x"^2 + 1) = 341/91`
Express the following ratios in its simplest form :
2.5 : 5
If A : B = 2 : 3, B : C = 4 : 5 and C : D = 6 : 7, find A : D
If 3A = 4B = 6C, find A : B : C
A woman reduces her weight in the ratio 7 : 5. What does her weight become if originally it was 91 kg.
Divide Rs 3450 among A, B, and C in the ratio 3 : 5 : 7.
Find the ratio of the price of a pencil to that of a ball pen if pencils cost Rs 96 per score and ball pens cost Rs 50.40 per dozen.
When Chinmay visted chowpati at Mumbai on a holiday, he observed that the ratio of North Indian food stalls to South Indian food stalls is 5 : 4. If the total number of food stalls is 117, find the number of each type of food stalls.
In the following figure, division represents 1 cm:
Express numerically the ratios of the following distances:
AG : AD
