The first degree terms of ax? + 2hxy +by2 + 2gx+2fy +c= 0 are removed by shifting origin to (a,b). The new equation is 1) ax? + 2hxy + by2 + 2ya +2bB+c = 0 2) ax² + 2hxy +by2 + ga + f B+c=0 3) ax? + 2hxy +by2 +ha+bB+c=0 4) ax? + 2hxy - by? – ha - bß-c=0
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3
Answer:
r⋅r
1
⋅r
2
⋅r
3
=
s
△
×
s−a
△
×
s−b
△
×
s−c
△
⇒
s(s−a)(s−b)(s−c)
△
4
[r=
s
△
,r
1
=
s−a
△
,r
2
=
s−b
△
,r
3
=
s−c
△
]
r⋅r
1
⋅r
2
⋅r
3
=
△
2
△
4
=△
2
Hence, 2△ is the correct answer.
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