Advertisements
Advertisements
प्रश्न
Find the fourth proportional to 3a, 6a2 and 2ab2
Advertisements
उत्तर
Let the fourth proportional to 3a, 6a2 and 2ab2 be x.
`\implies` 3a : 6a2 = 2ab2 : x
`\implies` 3a × x = 2ab2 × 6a2
`\implies` 3a × x = 12a3b2
`\implies` x = 4a2b2
APPEARS IN
संबंधित प्रश्न
If x + 5 is the mean proportional between x + 2 and x + 9; find the value of x.
Using properties of proportion, solve for x:
`(3x + sqrt(9x^2 - 5))/(3x - sqrt(9x^2 - 5)) = 5`
a, b, c are in continued proportion. If a = 3 and c = 27 then find b.
Given four quantities p, q, r and s are in proportion, show that
q2(p - r) : rs (q - s) =(p2- q2- pq): ( r2-s2-rs).
Find the smallest number that must be subtracted from each of the numbers 20, 29, 84 and 129 so that they are in proportion.
Show that the following numbers are in continued proportion:
36, 90, 225
A car travels 195 km in 3 hours.
(i) How long will it take to travel 520 km?
(ii) How far will it travel in 7 hours at the same speed?
If b is the mean proportional between a and c, prove that a, c, a² + b², and b² + c² are proportional.
If a, b, c and d are in proportion, prove that: `(a + c)^3/(b + d)^3 = (a(a - c)^2)/(b(b - d)^2)`
The mean proportional to `sqrt(3) + sqrt(2)` and `sqrt(3) - sqrt(2)` is ______.
