Advertisements
Advertisements
प्रश्न
If x + 5 is the mean proportion between x + 2 and x + 9, find the value of x.
Advertisements
उत्तर
∵ x + 5 is the mean proportion between x + 2 and x + 9, then
(x + 5)² = (x + 2) (x + 9)
⇒ x² + 10x + 25 = x² + 11x + 18
⇒ x² + 10x – x² – 11x = 18 – 25
⇒ – x = – 7
∵ x = 7.
APPEARS IN
संबंधित प्रश्न
If a, b and c are in continued proportion, prove that `(a^2 + ab + b^2)/(b^2 + bc + c^2) = a/c`
If x and y be unequal and x : y is the duplicate ratio of x + z and y + z, prove that z is mean proportional between x and y.
Determine if the following ratio form a proportion:
39 litres : 65 litres and 6 bottles : 10 bottles
In proportion, the 1st, 2nd, and 4th terms are 51, 68, and 108 respectively. Find the 3rd term.
If the cost of a dozen soaps is Rs 285.60, what will be the cost of 15 such soaps?
If `a/c = c/d = e/f` prove that: `(a^3 + c^3)^2/(b^3 + d^3)^2 = e^6/f^6`
If a, b, c, d, e are in continued proportion, prove that: a : e = a4 : b4.
7 Persons is to 49 Persons as 11 kg is to 88 kg
Sleeping time of a python in a 24 hour clock is represented by the shaded portion in the following figure.
The ratio of sleeping time to awaking time is ______.
What number must be added to each of the numbers 4, 6, 8, 11 in order to get the four numbers in proportion?
