Advertisements
Advertisements
प्रश्न
Find the third proportional to `x/y + y/x` and `sqrt(x^2 + y^2)`
Advertisements
उत्तर
Let the required third proportional be p.
`=> x/y + y/x, sqrt(x^2 + y^2)`, p are in continued proportion
`=> x/y + y/x : sqrt(x^2 + y^2) = sqrt(x^2 + y^2) : p`
`=> p(x/y + y/x) = (sqrt(x^2 + y^2))^2`
`=> p((x^2 + y^2)/(xy)) = x^2 + y^2`
`=>` p = xy
APPEARS IN
संबंधित प्रश्न
If p + r = mq and `1/q + 1/s = m/r`; then prove that p : q = r : s.
What number must be added to each of the number 16, 26 and 40 so that the resulting numbers may be in continued proportion?
Find two nurnbers whose mean proportional is 12 and the third proportional is 324.
Find the two numbers such that their mean proprtional is 24 and the third proportinal is 1,536.
Find the value of x in the following proportions : 3 : x = 24 : 2
Verify the following:
60 : 105 : : 84 : 147
Determine if the following ratio form a proportion:
2 kg : 80 kg and 25 g : 625 kg
The length and breadth of a rectangular field are in the ratio 5 : 4. If the width of the field is 36 m, what is its length?
If a, b, c and d are in proportion, prove that: `(a^2 + ab)/(c^2 + cd) = (b^2 - 2ab)/(d^2 - 2cd)`
A gets double of what B gets and B gets double of what C gets. Find A : B and B : C and verify whether the result is in proportion or not
