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if Straight lines , ax+by+p=0 and xcos(m)+ysin(m)=p enclose an angle of 45degree and the line xsin(m)=ycos(m)meet them at the same point . then find the value of a^2+b^2

Note by Avn Bha
2 years, 3 months ago

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Point of intersection of the three straight lines comes to pCosm,pSinm.Plugging this into first equation gives one equation.Now the slopes of the 2nd and 3rd lines are known as also the angle between them,45 degrees.This gives another equation.Solving these two and eliminating m gives a^2+b^2=2.

Adarsh Kumar - 2 years, 3 months ago

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yes you are correct the answer is 2

Avn Bha - 2 years, 3 months ago

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is the answer 2?

Adarsh Kumar - 2 years, 3 months ago

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i dont know could you tell how you did it

Avn Bha - 2 years, 3 months ago

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