Advertisements
Advertisements
प्रश्न
Find the third proportional to:
`a/b + b/c, sqrt(a^2 + b^2)`.
उत्तर
Let x be the third proportional then
`a/b + b/c, sqrt(a^2 + b^2) = sqrt(a^2 + b^2) : x`
⇒ `(a^2 + b^2)/(ab) : sqrt(a^2 + b^2) = sqrt(a^2 + b^2) : x`
⇒ `(a^2 + b^2)/(ab sqrt(a^2 + b^2)) = sqrt(a^2 + b^2)/x`
⇒ x = `(ab (a^2 + b^2))/((a^2 + b^2))`
⇒ x = ab.
APPEARS IN
संबंधित प्रश्न
Find the fourth proportional to 3a, 6a2 and 2ab2
If a, b, c are in continued proportion and a(b – c) = 2b, prove that: `a - c = (2(a + b))/a`.
Determine if the following numbers are in proportion:
33, 121, 9, 96
Determine if the following numbers are in proportion:
150, 200, 250, 300
Verify the following:
91 : 104 : : 119 : 136
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 a, b, c, d are in continued proportion, prove that:
`((a -b)/c + (a - c)/b)^2 - ((d - b)/c + (d - c)/b)^2 = (a - d)^2 (1/c^2 - 1/b^2)`
Find the missing number in the box in the proportions:
`8/square = 3.2/4`
The mean proportional between 4 and 9 is ______.
If a, b, c and d are in proportion, the value of `(8a^2 - 5b^2)/(8c^2 - 5d^2)` is equal to ______.
