Class 12
MATHS
Solved Paper 2019

# The joint equation of pair of straight lines passing through origin and having slopes (1+sqrt(2)) and ((1)/(1+sqrt(2))) is

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Very Important Questions

Text Solution

x^(2)-2sqrt(2)xy+y^(2)=0x^(2)-2sqrt(2)xy-y^(2)=0x^(2)+2xy-y^(2)=0x^(2)+2xy+y^(2)=0

Required equation of pair of straight lines passing through origin and having slopes. <br> m_(1)=(1+sqrt(2)) and m_(2)=(1)/(1+sqrt(2))=sqrt(2)-1 <br> implies[y-(1+sqrt(2))x][y-(sqrt(2)-1)x]=0 <br> impliesy^(2)-(sqrt(2)-1)xy-(1+sqrt(2))xy+(2-1)x^(2)=0 <br> impliesy^(2)-(sqrt(2)-1+1+sqrt(2))xy+x^(2)=0 <br> impliesy^(2)-2sqrt(2)xy+x^(2)=0
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