Advertisements
Advertisements
प्रश्न
If p + r = mq and `1/q + 1/s = m/r`; then prove that p : q = r : s.
Advertisements
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.
संबंधित प्रश्न
The following numbers, K + 3, K + 2, 3K – 7 and 2K – 3 are in proportion. Find k.
Check whether the following numbers are in continued proportion.
9, 12, 16
Find the mean proportion of the following :
24 and 6
Find two numbers such that the mean proportional between them is 28 and the third proportional to them is 224.
Verify the following:
91 : 104 : : 119 : 136
A given quantity of rice is sufficient for 60 persons for 3 days. How many days would the rice last for 18 persons?
If 57 : x : : 51 : 85, then the value of x is
If `a/c = c/d = c/f` prove that : `bd f[(a + b)/b + (c + d)/d + (c + f)/f]^3` = 27(a + b)(c + d)(e + f)
Do the ratios 15 cm to 2 m and 10 sec to 3 minutes form a proportion?
Are 30, 40, 45, and 60 in proportion?
