Advertisements
Advertisements
प्रश्न
Find the mean proportion of the following :
ab3 and a3b
उत्तर
Let x be the mean proportion
ab3 : x : : x : a3b
⇒ x × x = ab3 x a3b
⇒ x2 = a4b4
⇒ x = `sqrt ("a"^4"b"^4)`
⇒ x = a2b2
The mean proportion is a2b2
APPEARS IN
संबंधित प्रश्न
If a, b, c and d are in proportion prove that `(13a + 17b)/(13c + 17d) = sqrt((2ma^2 - 3nb^2)/(2mc^2 - 3nd^2)`
If `x/a = y/b = z/c` prove that `(2x^3 - 3y^3 + 4z^3)/(2a^3 - 3b^3 + 4c^3) = ((2x - 3y + 4z)/(2a - 3b + 4c))^3`
If a, b and c are in continued proportion, prove that: a: c = (a2 + b2) : (b2 + c2)
If `(4m + 3n)/(4m - 3n) = 7/4`, use properties of proportion to find `(2m^2 - 11n^2)/(2m^2 + 11n^2)`
If a, b, c are in continued proportion, prove that a : c = (a2 + b2) : (b2 + c2).
If `a/b = c/d = e/f`, prove that `(ab + cd + ef)^2 = (a^2 + c^2 + e^2) (b^2 + d^2 + f^2)`.
Find the mean proportion of: 8.1 and 2.5
If 48 boxes contain 6000 pens, how many such boxes will be needed for 1875 pens?
12 : `square` = `square` : 4 = 8 : 16
Write True (T) or False (F) against the following statement:
12 : 18 : : 28 : 12
