Q)Let bx + ay =ab and ax+by=1 be two variable lines and a,b be parameters such that a 2 +b 2 =ab,then the locus of point of intersection of the lines is a)x 2 +y 2 +xy+1=0 b)x 2 +y 2 -xy+1=0 c)x 2 +y 2 +xy-1=0 d)x 2 +y 2 -xy-1=0

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UPINDERJEET SINGH · Answer

Let (p,q) be their point of intersection. therefore: bp+aq=ab & ap+bq=1 multiply both, abp ^2 +b ^2 pq+a ^2 pq+abq ^2 =ab ab(p ^2 +q ^2 ) + pq(a ^2 +b ^2 )=ab but given (a ^2 +b ^2 )=ab so, ab(p ^2 +q ^2 +pq)=ab thus, p ^2 +q ^2 +pq-1=0 therefore locus is: x ^2 +y ^2 +xy-1=0 ie. c)

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Q)Let bx + ay =ab and ax+by=1 be two variable lines and a,b be parameters such that a 2 +b 2 =ab,then the locus of point of intersection of the lines is a)x 2 +y 2 +xy+1=0 b)x 2 +y 2 -xy+1=0 c)x 2 +y 2 +xy-1=0 d)x 2 +y 2 -xy-1=0

Q)Let bx + ay =ab and ax+by=1 be two
variable lines and a,b be parameters such that a2+b2=ab,then the locus of point of intersection of the lines is
a)x2+y2+xy+1=0
b)x2+y2-xy+1=0
c)x2+y2+xy-1=0
d)x2+y2-xy-1=0

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Q)Let bx + ay =ab and ax+by=1 be two variable lines and a,b be parameters such that a 2 +b 2 =ab,then the locus of point of intersection of the lines is a)x 2 +y 2 +xy+1=0 b)x 2 +y 2 -xy+1=0 c)x 2 +y 2 +xy-1=0 d)x 2 +y 2 -xy-1=0

Q)Let bx + ay =ab and ax+by=1 be two variable lines and a,b be parameters such that a2+b2=ab,then the locus of point of intersection of the lines isa)x2+y2+xy+1=0b)x2+y2-xy+1=0c)x2+y2+xy-1=0d)x2+y2-xy-1=0

1 Answers

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Q)Let bx + ay =ab and ax+by=1 be two
variable lines and a,b be parameters such that a2+b2=ab,then the locus of point of intersection of the lines is
a)x2+y2+xy+1=0
b)x2+y2-xy+1=0
c)x2+y2+xy-1=0
d)x2+y2-xy-1=0