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
If x + 5 is the mean proportional between x + 2 and x + 9; find the value of x.
If x and y be unequal and x : y is the duplicate ratio of x + z and y + z, prove that z is mean proportional between x and y.
If `1/12` , x and `1/75` are in continued proportion , find x.
If a, b, c are in continued proportion, prove that a : c = (a2 + b2) : (b2 + c2).
If 2x – 1, 5x – 6, 6x + 2 and 15x – 9 are in proportion, find the value of x.
Show that the following numbers are in continued proportion:
36, 90, 225
If a, b, c, d are in continued proportion, prove that: (a + d)(b + c) – (a + c)(b + d) = (b – c)2
7 Persons is to 49 Persons as 11 kg is to 88 kg
Are the following statements true?
7.5 litres : 15 litres = 5 kg : 10 kg
Determine if the following ratios form a proportion. Also, write the middle terms and extreme terms where the ratios form a proportion.
2 kg : 80 kg and 25 g : 625 g
