Advertisements
Advertisements
प्रश्न
If `a/b = c/d = c/f`, prove that each ratio is `sqrt((3a^2 - 5c^2 + 7e^2)/(3b^2 - 5d^2 + 7f^2)`
Advertisements
उत्तर
`a/b = c/d = c/f` = k(say)
∴ a = k, c = dk, e = fk
`sqrt((3a^2 - 5c^2 + 7e^2)/(3b^2 - 5d^2 + 7f^2)`
= `sqrt((3b^2k^2 - 5d^2k^2 + 7f^2k^2)/(3b^2 - 5d^2 - 7f^2)`
= k`sqrt((3b^2 - 5d^2 + 7f^2)/(3b^2 - 5d^2 + 7f^2)` = k
Hence proved.
APPEARS IN
संबंधित प्रश्न
If A : B = 2 : 5 and A : C = 3 : 4, find: A : B : C.
Find triplicate ratio of `m/2 : n/3`
Express the following ratios in its simplest form :
4:6
The strength of a class is 65, including 30 girls. Find the ratio of the number of:
(i) girls to boys
(ii) boys to the whole class
(iii) the whole class to girls
Express the given ratio in its simplest form: 3 hours : 1 day
Make set of all possible proportions from the numbers 15, 18, 35 and 42.
Find the triplicate ratio of 13 : 23
Mr. Sahai and his wife are both school teachers and earn Rs 16800 and Rs 10500 per month respectively. Find the ratio of
(i) Mr. Sahai's income to his wife's income;
(ii) Mrs. Sahai's income to her husband's income;
(iii) Mr. Sahai's income to the total income of the two.
Find the simplified form of the following ratio.
12 : 27
A typist has to type a manuscript of 40 pages. She has typed 30 pages of the manuscript. What is the ratio of the number of pages typed to the number of pages left?
