Advertisements
Advertisements
प्रश्न
If a : b : : c : d, prove that `(2a +5b)/(2a - 5b) = (2c + 5d)/(2c - 5d)`
उत्तर
a : b : : c : d
then `a/b = c/d`
⇒ `(2a)/(5b) = (2c)/(5d) ...("multiply by" 2/5)`
Applying componendo and dividendo,
`(2a + 5b)/(2a - 5b) = (2c + 5d)/(2c - 5d)`.
APPEARS IN
संबंधित प्रश्न
If `(5x + 6y)/(5u + 6v) = (5x - 6y)/(5u - 6v)`; then prove that x : y = u : v.
If `x = (2ab)/(a + b)`, find the value of `(x + a)/(x - a) + (x +b)/(x - b)`.
Find x, if `16((a - x)/(a + x))^3 = (a + x)/(a - x)`.
Show, that a, b, c, d are in proportion if:
(6a + 7b) : (6c + 7d) : : (6a - 7b) : (6c - 7d)
Given that `(a^3 + 3ab^2)/(b^2 + 3a^2b) = (63)/(62)`.
Using Componendo and Dividendo find a : b.
Find the value of
`(x + sqrt(3))/(x - sqrt(3)) + (x + sqrt(2))/(x - sqrt(2)), if x = (2sqrt(6))/(sqrt(3) + sqrt(2)`.
If `p/q = r/s`, prove that `(2p + 3q)/(2p - 3q) = (2r + 3s)/(2r - 3s)`.
If (11a² + 13b²) (11c² – 13d²) = (11a² – 13b²)(11c² + 13d²), prove that a : b :: c : d.
Using Componendo and Dividendo solve for x:
`(sqrt(2x + 2) + sqrt(2x - 1))/(sqrt(2x + 2) - sqrt(2x - 1))` = 3
`(x + y)/z = (y + z)/x = (z + x)/y` is equal to ______.
