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Q.

The normal form of the line x3y+8=0 is

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a

xcos2π3+ysin2π3=4

b

xcosπ3+ysinπ3=4

c

xcos4π3+ysin4π3=4

d

xcos5π3+ysinπ3=4

answer is A.

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Detailed Solution

x3y+8=0

x3y=8

x+3y=8

On dividing both sides by (1)2+(32)=4=2

x2+32y=82

x12+y32=4

xcos2π3+ysin2π3=4

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The normal form of the line x−3y+8=0 is