The following numbers, K + 3, K + 2, 3K – 7 and 2K – 3 are in proportion. Find K.
Find the fourth proportional to 2xy, x2 and y2.
Find the mean proportional between :17.5 and 0.007
If a/b = c/d prove that each of the given ratio is equal to `sqrt((3a^2 - 10c^2)/(3b^2 - 10d^2))`
If `a/b = c/d` prove that each of the given ratios is equal to
`(5a + 4c)/(5b + 4d)`
Find the mean proportional to (x – y) and (x3 – x2y).
If a, b and c are in continued proportion, prove that: a: c = (a2 + b2) : (b2 + c2)
Using properties of proportion solve for x:
`(sqrt(x + 1) + sqrt(x - 1))/(sqrt(x + 1) - sqrt(x - 1)) = (4x - 1)/2`