Advertisements
Advertisements
प्रश्न
Find the compounded ratio of: (a – b) : (a + b), (a + b)2 : (a2 + b2) and (a4 – b4) : (a2 – b2)2
Advertisements
उत्तर
(a – b) : (a + b), (a + b)2 : (a2 + b2) and (a4 – b4) : (a2 – b2)2
Compound ratio
= `"a - b"/"a + b" xx (a + b)^2/(a^2 + b^2) xx (a^4 - b^4)/(a^2 - b^2)^2`
= `"a - b"/"a + b" xx ((a + b)(a + b))/(a^2 + b^2) xx ((a^2 + b^2)(a + b)(a - b))/((a + b)^2 (a - b)^2`
= `(1)/(1)`
or
1 : 1.
APPEARS IN
संबंधित प्रश्न
If 15(2x2 – y2) = 7xy, find x : y; if x and y both are positive.
The ratio between the number of boys and the number of girls in a class is 4:3 . If there were 20 more boys and 12 less girls, the ratio would have been 2:1. Find the total number of students in
the class.
Express the following ratios in its simplest form :
200:250
Arrange 5: 6, 8: 9, 13: 18 and 7: 12 in ascending order of magnitude.
Ratio of the distance of the school from A’s home to the distance of the school from B’s home is 2 : 1.
(i) Who lives nearer to the school?
(ii) Complete the following table:
Divide 81 into three parts in the ratio 2 : 3 : 4.
The ratio of income to the expenditure of a family is 7 : 6. Find the savings if the income is Rs 14000.
In an army camp, there were provisions for 425 men for 30 days. How long did the provisions last for 375 men?
The ratio of the pocket money saved by Lokesh and his sister is 5 : 6. If the sister saves Rs 30 more, how much more the brother should save in order to keep the ratio of their savings unchanged?
25 kg : 20 g = 50 kg : 40 g
