Advertisements
Advertisements
प्रश्न
Find the third proportional to a2 – b2 and a + b.
Advertisements
उत्तर
Let the third proportional to a2 – b2 and a + b be n.
`=>` a2 – b2, a + b and n are in continued proportion.
`=>` a2 – b2 : a + b = a + b : n
`=> n = (a + b)^2/(a^2 - b^2)`
= `(a + b)^2/((a + b)(a - b))`
= `(a + b)/(a - b)`
APPEARS IN
संबंधित प्रश्न
If x + 5 is the mean proportional between x + 2 and x + 9; find the value of x.
If p, q and r in continued proportion, then prove the following:
(p + q + r )(p - q + r) = p2 + q2 + r2
Find the third proportional to 0.24, 0.6
If 4 : 5 : : x : 35, then the value of x is
`square` : 24 : : 3 : 8
A recipe calls for 1 cup of milk for every `2 1/2` cups of flour to make a cake that would feed 6 persons. How many cups of both flour and milk will be needed to make a similar cake for 8 people?
Write True (T) or False (F) against the following statement:
12 : 18 : : 28 : 12
Are the following statements true?
45 km : 60 km = 12 hours : 15 hours
If a, b, c and d are in proportion, the value of `(8a^2 - 5b^2)/(8c^2 - 5d^2)` is equal to ______.
In the proportional statement p : q :: r : s, which pair of terms represents the means, and which pair represents the extremes?
