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Byju's Answer
Standard X
Mathematics
Condition for Concurrency of Three Lines
104 . The cir...
Question
{104 . The circle }x^2+y^2-4x-4y+4=0 is inscribed in a triangle which has two of its sides }} along the coordinate axes. The locus of the circumcentre of the triangle is }{x+y-xy+k(x^2+y^2)^{1/2}=0. Then }k=}{ 2) }1
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Q.
The circle
x
2
+
y
2
−
4
x
−
4
y
+
4
=
0
is inscribed in a triangle which has two of its sides along the coordinate axes. If the locus of the circumcentre of the triangle is
x
+
y
−
x
y
+
k
√
x
2
+
y
2
=
0
, then the value of
k
is equal to
Q.
The circle
x
2
+
y
2
−
4
x
−
4
y
+
4
=
0
is inscribed in a triangle which has two of the sides along he co-ordinate axes. The locus of the circumcentre of the triangle is
x
+
y
−
x
y
+
k
√
(
x
2
+
y
2
)
=
0
, find
k
.
Q.
The circle
x
2
+
y
2
−
4
x
−
4
y
+
4
=
0
is inscribed in a triangle which has two of its sides along the coordinate axes. If the locus of the circumcentre of the triangle is
x
+
y
−
x
y
+
k
√
x
2
+
y
2
=
0
, then the value of
k
is equal to
Q.
The circle
x
2
+
y
2
−
4
x
−
4
y
+
4
=
0
is inscribed in a triangle which has two of its sides along the coordinate axes. If the locus of the circumcenter of the triangle is
x
+
y
−
x
y
+
k
√
x
2
+
y
2
=
0
, then the value of
k
is
Q.
The circle
x
2
+
y
2
−
4
x
−
4
y
+
4
=
0
is inscribed in a triangle which have two of its sides along the coordinate axes. If the locus of the circumcenter of the triangle is
x
+
y
−
x
y
+
k
√
x
2
+
y
2
=
0
, then
k
is equal to
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