Operations on equal Ratios
Class 9
Answers
Answered by
13
Answer:
Operations on equal ratios:-
Invertendo:
If a/b = c/d, then b/a = d/c
Alternendo:
If a/b = c/d, then a/c = b/d
Componendo:
If a/b = c/d, then (a+b)/b = (c+d)/d
Dividendo:
If a/b = c/d, then (a-b)/b = (c/d)/d
Componendo-dividendo:
If a/b = c/d, then (a+b)/(a-b) = (c+d)/(c-d)
Hope it helps :)
Answered by
2
INVERTENDO - LAW
Invertendo :
b
a
=
d
c
is the given ratio then,
After taking the reciprocal o both sides we get,
a
b
=
c
d
This operation is known as Invertendo.
COMPONENDO AND DIVIDENDO - LAW
Componendo
b
a
=
d
c
b
a+b
=
d
c+d
Dividendo
b
a
=
d
c
b
a−b
=
d
c−d
Componendo - Dividendo
b
a
=
d
c
a−b
a+b
=
c−d
c+d
ALTERNENDO - DEFINITION
If
b
a
=
d
c
then,
c
a
=
d
b
This operation is known as Alternendo.
Example:
5
3
=
10
6
by alternendo,
6
3
=
10
5
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