Advertisements
Advertisements
प्रश्न
If `(4m + 3n)/(4m - 3n) = 7/4`, use properties of proportion to find `(2m^2 - 11n^2)/(2m^2 + 11n^2)`
Advertisements
उत्तर
`m/n = 11/4`
`m^2/n^2 = 121/16`
`(2m^2)/(11n^2) = (2 xx 121)/(11 xx 16)` ...`("Multiplying both sides by" 2/11)`
`(2m^2)/(11n^2) = 11/8`
`(2m^2 + 11n^2)/(2m^2 - 11n^2) = (11 + 8)/(11 - 8)` ...(Applying componendo and divdendo)
`(2m^2 + 11n^2)/(2m^2 - 11n^2) = 19/3`
`(2m^2 - 11n^2)/(2m^2 + 11n^2) = 3/19` ...(Applying invertendo)
संबंधित प्रश्न
Find the fourth proportional to 1.5, 4.5 and 3.5
If p + r = mq and `1/q + 1/s = m/r`; then prove that p : q = r : s.
Find the third proportion to the following :
`9/25` and `18/25`
Find the value of x in each of the following proportion:
27 : x : : 63 : 84
In proportion, the 1st, 2nd, and 4th terms are 51, 68, and 108 respectively. Find the 3rd term.
If the cost of 14 m of cloth is Rs 1890, find the cost of 6 m of cloth.
If `a/c = c/d = c/f` prove that : (b2 + d2 + f2) (a2 + c2 + e2) = (ab + cd + ef)2
Choose the correct answer from the given options :
The mean proportional between `(1)/(2)` and 128 is
The America’s famous Golden Gate bridge is 6480 ft long with 756 ft tall towers. A model of this bridge exhibited in a fair is 60 ft long with 7 ft tall towers. Is the model, in proportion to the original bridge?
A student said that the ratios `3/4` and `9/16` were proportional. What error did the student make?
