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shivanshi asthana Grade: 11
        

from a pointA (1,1),straight lines AL and AM are drawn at right angles to the pair of straight lines 3x2+7xy-2y2=0...then combined equation of AL and AM is............

7 years ago

Answers : (1)

Badiuddin askIITians.ismu Expert
147 Points
										

Dear shivanshi


3x2+7xy-2y2=0


m1 + m2 = 7/2


 m1.m2 =-3/2


 


now let a line  a'(x-1)2 + 2h'(x-1)(y-1) + b'(y-1)2 =0   whose line is perpendicular to the these lines


 m3 = -1/m1


m4 = -1/m2


 


m3 + m4 = -(m1+m2)/m1m2  


 -2h'/b'         = 7/3


m3.m4  = -1/m1m1


   a'/b'     = -2/3


 


a'(x-1)2 + 2h'(x-1)(y-1) + b'(y-1)2 =0


or


a'/b' (x-1)2 + 2h'/b' (x-1)(y-1) + (y-1)2 =0


- 2/3  (x-1)2 -7/3 (x-1)(y-1) + (y-1)2 =0


or


   2 (x-1)2 +7 (x-1)(y-1) +3 (y-1)2 =0


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Badiuddin


 



7 years ago
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