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Byju's Answer
Standard IX
Mathematics
Ratio and Proportion
If a,b,c an...
Question
If
a
,
b
,
c
and
d
are in proportion, then
A
a
b
=
c
d
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B
a
d
=
b
c
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C
a
c
=
b
d
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D
n
o
n
e
o
f
t
h
e
s
e
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Solution
The correct option is
B
a
d
=
b
c
P
r
o
p
o
r
t
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o
n
i
s
e
q
u
a
l
i
t
y
o
f
t
w
o
r
a
t
i
o
s
.
T
h
e
r
a
t
i
o
o
f
2
t
o
3
i
s
s
a
m
e
a
s
t
h
e
r
a
t
i
o
o
f
4
t
o
6
,
i
.
e
.
2
:
3
=
4
:
6
T
h
e
r
e
f
o
r
e
,
t
h
e
t
w
o
r
a
t
i
o
s
2
:
3
a
n
d
4
:
6
a
r
e
p
r
o
p
o
r
t
i
o
n
a
t
e
a
n
d
w
r
i
t
t
e
n
a
s
:
2
:
3
:
:
4
:
6
a
n
d
r
e
a
d
a
s
T
h
e
r
a
t
i
o
o
f
2
t
o
3
i
s
s
a
m
e
a
s
t
h
a
t
o
f
4
t
o
6.
I
f
2
:
3
=
4
:
6
,
t
h
e
n
2
×
6
=
3
×
4
,
i
.
e
.12
=
12
,
L
e
t
t
w
o
r
a
t
i
o
s
a
:
b
a
n
d
c
:
d
b
e
p
r
o
p
o
r
t
i
o
n
a
t
e
,
i
.
e
.
a
:
b
:
:
c
:
d
I
n
t
h
e
p
r
o
p
o
r
t
i
o
n
a
:
b
:
:
c
:
d
P
r
o
d
u
c
t
o
f
m
e
a
n
s
=
p
r
o
d
u
c
t
o
f
e
x
t
r
e
m
e
s
.
I
f
a
:
b
=
c
:
d
,
t
h
e
n
a
×
d
=
b
×
c
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Similar questions
Q.
If four sides of a quadrilateral ABCD are tangential to a circle, then
(a) AC + AD = BD + CD
(b) AB + CD = BC + AD
(c) AB + CD = AC + BC
(d) AC + AD = BC + DB