Advertisements
Advertisements
प्रश्न
Find the third proportion to the following :
(x - y) and m (x - y)
Advertisements
उत्तर
Let z be lhe third proportion
(x - y) : m (x - y) : : m (x - y) : z
⇒ (x -y) x z - m(x - y) x m (x - y)
⇒ (x - y) z = m2 (x - y)2
⇒ z = m2 (x - y)
The third proportion is m2 (x - y) .
APPEARS IN
संबंधित प्रश्न
Using properties of proportion, solve for x. Given that x is positive:
`(2x + sqrt(4x^2 -1))/(2x - sqrt(4x^2 - 1)) = 4`
Using the properties of proportion, solve for x, given `(x^4 + 1)/(2x^2) = 17/8`.
If a, b and c are in continued proportion, prove that `(a^2 + b^2 + c^2)/(a + b + c)^2 = (a - b + c)/(a + b + c)`
If q is the mean proportional between p and r prove that `(p^3 + q^3 + r^3)/(p^2q^2r^2) = 1/p^3 + 1/q^3 = 1/r^3`
If `(4m + 3n)/(4m - 3n) = 7/4`, use properties of proportion to find `(2m^2 - 11n^2)/(2m^2 + 11n^2)`
If x + 5 is the mean proportion between x + 2 and x + 9, find the value of x.
Verify the following:
39 : 65 : : 141 : 235
Write (T) for true and (F) for false in case of the following:
45 km : 60 km : : 12 h : 15 h
If a, b, c and d are in proportion, prove that: `(a^2 + b^2)/(c^2 + d^2) = "ab + ad - bc"/"bc + cd - ad"`
What is the term "d" called in the expression a : b :: c : d?
