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WBJEE 2017 Math Solved Paper
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© examsnet.com
Question : 6
Total: 75
The locus of the mid-points of the chords of the circle
x
2
+
y
2
+
2
x
–
2
y
–
2
=
0
which make an angle of 90° at the centre is
x
2
+
y
2
−
2
x
–
2
y
=
0
x
2
+
y
2
−
2
x
+
2
y
=
0
x
2
+
y
2
+
2
x
−
2
y
=
0
x
2
+
y
2
+
2
x
−
2
y
−
1
=
0
Validate
Solution:
s
i
n
45
°
=
O
P
2
⇒
O
P
=
√
2
,
Centre : (-1, 1)
© examsnet.com
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