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
Find the third proportional to `x/y + y/x` and `sqrt(x^2 + y^2)`
Find the third proportion to the following :
(x - y) and m (x - y)
If a, b, c, d are in continued proportion, prove that:
`sqrt(ab) - sqrt(bc) + sqrt(cd) = sqrt((a - b + c) (b - c + d)`
Find the fourth proportional to `(1)/(3), (1)/(4), (1)/(5)`
Verify the following:
108 : 72 : : 129 : 86
Determine if the following ratio form a proportion:
200 mL : 2.5 L and Rs 4 : Rs 50
In proportion, the 1st, 2nd, and 4th terms are 51, 68, and 108 respectively. Find the 3rd term.
The weight of 65 books is 13 kg.
(i) What is the weight of 80 such books?
(ii) How many such books weigh 6.4 kg?
If 48 boxes contain 6000 pens, how many such boxes will be needed for 1875 pens?
If a, b, c are in proportion, then
