Advertisements
Advertisements
प्रश्न
Find the third proportional to:
x - y, x2 - y2
Advertisements
उत्तर
Let A be the third proportional then
(x - y) : (x2 - y2) = (x2 - y2) : A
⇒ `(x - y)/(x^2 - y^2) = (x^2 - y^2)/"A"`
⇒ A = `((x^2 - y^2))/(x - y)`
⇒ A = (x + y)(x2 - y2).
APPEARS IN
संबंधित प्रश्न
If a/b = c/d prove that each of the given ratio is equal to `(13a - 8c)/(13b - 8d)`
Find the mean proportion of the following :
ab3 and a3b
If y is the mean proportional between x and y; show that y(x+z) is the mean p roporti ona I between x2+ y2 and y2+ z2
Using the properties of proportion, solve for x, given. `(x^4 + 1)/(2x^2) = (17)/(8)`.
If 15 tins of the same size contain 234 kg of oil, how much oil will there be in 10 such tins?
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?
In a fort, 550 men had provisions for 28 days. How many days will it last for 700 men?
If x, y, z are in continued proportion, prove that: `(x + y)^2/(y + z)^2 = x/z`.
Which of the following ratios are in proportion?
A picture frame’s length and width are in the ratio 4 : 3. If the length is 28 cm, what is the width?
