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
72% of 25 students are interested in mathematics. How many are not interested in mathematics?
Find the ratio compounded of the duplicate ratio of 5 : 6, the reciprocal ratio of 25 : 42 and the sub-duplicate ratio of 36 : 49.
Two numbers are in the ratio 2 : 3. If 5 is added to each number, the ratio becomes 5 : 7. Find the numbers.
Divide Rs. 720 between Sunil, Sbhil and Akhil. So that Sunil gets 4/5 of Sohil’s and Akhil’s share together and Sohil gets 2/3 of Akhil’s share.
Express the given ratio in its simplest form: 40 kg : 1 quintal
Which of the following numbers are in continued proportion:
3, 6 and 15
If (4x + 3y) : (3x + 5y) = 6 : 7, find x : y
Find the following ratio in the simplest form:
24 to 56
In an army camp, there were provisions for 425 men for 30 days. How long did the provisions last for 375 men?
Given below is a Mathematical term.
Find the ratio of consonants to vowels in the term.
