Advertisements
Advertisements
प्रश्न
If a : b : : c : d, then prove that
2a+7b : 2a-7b = 2c+7d : 2c-7d
Advertisements
उत्तर
2a+7b : 2a-7b = 2c+7d : 2c -7d
`"a"/"b" = "c"/"d"`
Multiplying both sides by `2/7`
`=> "a"/"b" xx 2/7 = "c"/"d" xx 2/7`
`=> (2"a")/(7"b") = (2"c")/(7"d")`
Applying componendo and dividendo,
`(2"a" + 7"b")/(2"a" - 7"b") = (2"c" + 7"d")/(2"c" - 7"d")`
Hence, 2a+7b : 2a-7b = 2c+7d : 2c-7d
APPEARS IN
संबंधित प्रश्न
Verify the following:
108 : 72 : : 129 : 86
Find the value of x in each of the following proportions:
51 : 85 : : 57 : x
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)
If a, b, c are in continued proportion, prove that: `(pa^2+ qab+ rb^2)/(pb^2+qbc+rc^2) = a/c`
If a, b, c, d are in continued proportion, prove that: (a + d)(b + c) – (a + c)(b + d) = (b – c)2
Choose the correct answer from the given options :
The mean proportional between `(1)/(2)` and 128 is
Are the ratios 25g: 30g and 40 kg: 48 kg in proportion?
If the weight of 40 books is 8 kg, then the weight of 15 books is 3 kg
A particular high school has 1500 students 50 teachers and 5 administrators. If the school grows to 1800 students and the ratios are maintained, then find the number of teachers and administrators
Are the following statements true?
7.5 litres : 15 litres = 5 kg : 10 kg
