Q.

Equationofpairoflinesthrough0,  0andforming  anequilateral  triangle  withthe line2x3y+4=0is

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a

23x2+3y28xy=0

b

23x23y2+48xy=0

c

23x2+3y216xy=0

d

23x2+3y2+48xy=0

answer is D.

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Detailed Solution

Givenline2x3y+4=0Comparingwithlx+my+n=0l=2,m=3,n=4Re.​ Equationislx+my23mxly2=02x3y233x2y2=04x2+9y212xy39x2+4y2+12xy=04x2+9y212xy27x212y236xy=023x248xy3y2=023x2+48xy+3y2=0

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