Advertisements
Advertisements
प्रश्न
If `a/b = c/d = c/f`, prove that each ratio is `sqrt((3a^2 - 5c^2 + 7e^2)/(3b^2 - 5d^2 + 7f^2)`
Advertisements
उत्तर
`a/b = c/d = c/f` = k(say)
∴ a = k, c = dk, e = fk
`sqrt((3a^2 - 5c^2 + 7e^2)/(3b^2 - 5d^2 + 7f^2)`
= `sqrt((3b^2k^2 - 5d^2k^2 + 7f^2k^2)/(3b^2 - 5d^2 - 7f^2)`
= k`sqrt((3b^2 - 5d^2 + 7f^2)/(3b^2 - 5d^2 + 7f^2)` = k
Hence proved.
APPEARS IN
संबंधित प्रश्न
If 15(2x2 – y2) = 7xy, find x : y; if x and y both are positive.
If p : q = 2 : 5 , q : r = 4 : 3, then find p : r
What quantity must be subtracted from each term of the ratio 39 : 89 to make it equal to 2 : 5 ?
If (5x+3) : (3x+ 1) is the triplicate ratio of 4 : 3 , find x.
If 2a = 3b and 4b = 5c, find: a : c.
If 3x – 2y – 7z = 0 and 2x + 3y – 5z = 0 find x : y : z.
Express the given ratio in its simplest form: 40 kg : 1 quintal
A plot of land, 600 sq m in area, is divided between two persons such that the first person gets three-fifth of what the second gets. Find the share of each.
Find the mean proportional between 16 and 4
The two terms of a ratio can be in two different units.
