Advertisements
Advertisements
Question
Find the compounded ratio of the following:
(a2 - b2 ): (a2 + b2) and (a4 - b4 ): (a+ b)4
Advertisements
Solution
Compounded ratio of (a2 -b2 ): (a2 + b2 )and(a4 -b4 ) : (a+ b)4
=`("a"^2 - "b"^2)/("a"^2 + "b"^2) xx ("a"^4 - "b"^4)/("a" + "b")^4`
= `(("a" + "b")("a" - "b"))/(("a"^2 + "b"^2)) xx (("a"^2 + "b"^2)("a"^2 - "b"^2))/ (("a" + "b")^2 ("a" + "b")^2)`
= `(("a" - "b")("a" + "b")("a" - "b")("a" +"b"))/(("a" + "b")^2 ("a" + "b")^2)`
= `("a - b")^2/("a + b")^2`
Compounded ratio= (a - b)2 : (a+ b)2
APPEARS IN
RELATED QUESTIONS
Find duplicate ratio of `3sqrt(3) : 2sqrt(5)`
Find sub-duplicate ratio of 9 : 16
Two numbers are in the ratio 5 : 7 and the difference of their squares is 600. Find the numbers.
If `"x"/("b + c - a") =" y" /("c + a - b") = "z"/("a + b - c")` , then prove that each ratio is equal to the ratio of `("x + y+z")/("a + b + c")`
Find the fourth proportional of 2.1, 1.5 and 8.4.
Find the third proportional to ₹1.60, ₹0.40
The ratio of 150 cm to 1 metre is 1 : 1.5.
The students of a school belong to different religious backgrounds. The number of Hindu students is 288, the number of Muslim students is 252, the number of Sikh students is 144 and the number of Christian students is 72. Find the ratio of the number of Muslim students to the total number of students.
A metal pipe 3 metre long was found to weigh 7.6 kg. What would be the weight of the same kind of 7.8 m long pipe?
Out of 1800 students in a school, 750 opted basketball, 800 opted cricket and remaining opted table tennis. If a student can opt only one game, find the ratio of number of students who opted cricket to the number of students opting basketball.
