Advertisements
Advertisements
प्रश्न
Find the mean proportion of the following :
ab3 and a3b
Advertisements
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
Find the fourth proportion to the following:
(p2q - qr2 ), (pqr - pr2 ) and (pq2 - pr2)
What number must be added to each of the numbers 5, 11, 19 and 37 so that they are in proportion?
What number must be added to each of the numbers 16, 26 and 40 so that the resulting numbers may be in continued proportion?
Write (T) for true and (F) for false in case of the following:
45 km : 60 km : : 12 h : 15 h
Determine if the following ratio form a proportion:
200 mL : 2.5 L and Rs 4 : Rs 50
40 men can finish a piece of work in 26 days. How many men will be needed to finish it in 16 days?
If `a/c = c/d = c/f` prove that : (b2 + d2 + f2) (a2 + c2 + e2) = (ab + cd + ef)2
If `a/c = c/d = c/f` prove that : `bd f[(a + b)/b + (c + d)/d + (c + f)/f]^3` = 27(a + b)(c + d)(e + f)
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)`
Are the following statements true?
7.5 litres : 15 litres = 5 kg : 10 kg
