Advertisements
Advertisements
प्रश्न
If p + r = mq and `1/q + 1/s = m/r`; then prove that p : q = r : s.
उत्तर
`1/q + 1/s = m/r`
`(s + q)/(qs) = m/r`
`(s + q)/s = (mq)/r`
`(s + q)/s = (p + r)/r ` ...(∵ p + r = mq)
`1 + q/s = p/r + 1`
`q/s = p/r`
`p/q = r/s`
Hence, proved.
APPEARS IN
संबंधित प्रश्न
What least number must be added to each of the numbers 6, 15, 20 and 43 to make them proportional?
6 is the mean proportion between two numbers x and y and 48 is the third proportional of x and y. Find the numbers.
If x, y, z are in continued proportion, prove that `(x + y)^2/(y + z)^2 = x/z`
Find the third proportional to `2 2/3` and 4
If `x/a = y/b = z/c` prove that `(2x^3 - 3y^3 + 4z^3)/(2a^3 - 3b^3 + 4c^3) = ((2x - 3y + 4z)/(2a - 3b + 4c))^3`
The following numbers, K + 3, K + 2, 3K – 7 and 2K – 3 are in proportion. Find K.
Find the fourth proportion to the following:
3,5 and 15
Find the fourth proportional to 1.5, 2.5, 4.5
Show that the following numbers are in continued proportion:
48, 60, 75
Determine if the following are in proportion.
32, 48, 70, 210
