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Tapasranjan Das Grade: 12
        

Q:-Let a point P(h,k) satisfies the equation x3+y3+3xy=1 , then the locus of point P is a


1.Straight line


2.Circle


3.Parabola


4.Hyperbola


please xplain in details

7 years ago

Answers : (1)

Badiuddin askIITians.ismu Expert
147 Points
										

Dear Tapasranjan Das


x3+y3+3xy-1=0


(x+y)3 -3xy(x+y) +3xy -1 =0


(x+y)3 -13 -3xy(x+y-1) =0


(x+y-1)[(x+y)2 +1 +(x+y)] --3xy(x+y-1) =0


(x+y-1) [(x+y)2 +1 +(x+y) -3xy]=0


(x+y-1) [x2+y2 +1 +x+y -xy]=0


 x+y -1 =0 rpresent a straight line


 and for x2+y2 +1 +x+y -xy]=0  check value of  Δ


Δ will also come zero so it represent a pair of straight line


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Badiuddin


 

7 years ago
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