Advertisements
Advertisements
प्रश्न
If a, 12, 16 and b are in continued proportion find a and b.
Advertisements
उत्तर
∵ a, 12, 16, b are in continued proportion, then
`a/(12) = (12)/(16) = (16)/b`
⇒ `a/(12) = (12)/(16)`
⇒ 16a = 144
⇒ a = `(144)/(16)` = 9
and `(12)/(16) = (16)/b`
⇒ 12b = 16 x 16 = 256
b = `(256)/(12) = (64)/(3) = 21(1)/(3)`
Hence a = 9, b = `(64)/(3) or 21(1)/(3)`.
APPEARS IN
संबंधित प्रश्न
If y is the mean proportional between x and z, prove that: `(x^2 - y^2 + z^2)/(x^(-2) - y^(-2) + z^(-2)) = y^4`.
Find the value of x in the following proportions : x : 50 :: 3 : 2
Find the third proportional to Rs. 3, Rs. 12
A transport company charges Rs 540 to carry 25 tonnes of weight. What will it charge to carry 35 tonnes?
If b is the mean proportional between a and c, prove that a, c, a² + b², and b² + c² are proportional.
If `x/a = y/b = z/c`, prove that `x^3/a^2 + y^3/b^2 + z^3/c^2 = (x+ y+ z)^3/(a + b+ c)^2`
If a, b, c are in continued proportion, prove that: `(1)/a^3 + (1)/b^3 + (1)/c^3 = a/(b^2c^2) + b/(c^2a^2) + c/(a^2b^2)`
Write the mean and extreme terms in the following ratios and check whether they are in proportion.
78 litre is to 130 litre and 12 bottles is to 20 bottles
There is a number in the box `square` such that `square`, 24, 9, 12 are in proportion. The number in the box is ______.
Determine if the following are in proportion.
4, 6, 8, 12
