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)`
संबंधित प्रश्न
If y is the mean proportional between x and z; show that xy + yz is the mean proportional between x2 + y2 and y2 + z2.
Check whether the following numbers are in continued proportion.
1, 2, 3
Find the third proportional to:
`a/b + b/c, sqrt(a^2 + b^2)`.
Show that the following numbers are in continued proportion:
16, 84, 441
A transport company charges Rs 540 to carry 25 tonnes of weight. What will it charge to carry 35 tonnes?
The cost of 4 dozen bananas is Rs 104. How many bananas can be purchased for Rs 6.50?
If the cost of 12 pens is Rs 138, then the cost of 14 such pens is
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)`.
The length and breadth of a school ground are 150 m and 90 m respectively, while the length and breadth of a mela ground are 210 m and 126 m, respectively. Are these measurements in proportion?
Write True (T) or False (F) against the following statement:
21 : 6 : : 35 : 10
