Find the missing entries if x , y are directly proportional
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x 12 4 b 2 d
y 5 a 6 c 3
x and y vary inversely
x=
y
k
xy= constant
x
1
y
1
=x
2
y
2
=x
3
y
3
=x
4
y
4
=x
5
y
5
⇒12(5)=4a=6b=2c=3d
⇒a=
4
12×5
;b=
6
12×5
;c=
2
12(5)
;d=
3
12(5)
⇒a=15;b=10;c=30;d=20
x 12 4 10 2 20
y 5 15 6 30 3
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