Advertisements
Advertisements
प्रश्न
Find the third proportion to the following :
(x - y) and m (x - y)
उत्तर
Let z be lhe third proportion
(x - y) : m (x - y) : : m (x - y) : z
⇒ (x -y) x z - m(x - y) x m (x - y)
⇒ (x - y) z = m2 (x - y)2
⇒ z = m2 (x - y)
The third proportion is m2 (x - y) .
APPEARS IN
संबंधित प्रश्न
What least number must be subtracted from each of the numbers 7, 17 and 47 so that the remainders are in continued proportion?
Find the third proportion to the following :
`9/25` and `18/25`
If x, 12 and 16 are in continued proportion! find x.
Verify the following:
60 : 105 : : 84 : 147
The cost of 18 chairs is Rs 22770. How many such chairs can be bought for Rs 10120?
In an army camp, there were provisions for 550 men for 28 days. But, 700 men attended the camp. How long did the provisions last?
If the cost of 12 pens is Rs 138, then the cost of 14 such pens is
If a, b, c and d are in proportion, prove that: `(a + c)^3/(b + d)^3 = (a(a - c)^2)/(b(b - d)^2)`
If a, b, c and d are in proportion, prove that: `abcd [(1/a^2 + 1/b^2 + 1/c^2 + 1/d^2]` = a2 + b2 + c2 + d2
Determine if the following ratios form a proportion. Also, write the middle terms and extreme terms where the ratios form a proportion.
39 litres : 65 litres and 6 bottles : 10 bottles
