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WBJEE 2013 Math Solved Paper
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© examsnet.com
Question : 3
Total: 80
The locus of the midpoints of the chords of an ellpse
x
2
+
4
y
2
= 4 that are drawn form the positive end of the minor axis,is
a circle with centre
(
1
2
,
0
)
and radius 1
a parabola with focus
(
1
2
,
0
)
and directrix x = -1
an ellipse with centre
(
0
,
1
2
)
major axis 1 and minor axis
1
2
a hyperbola with centre
(
0
,
1
2
)
, transverse axis 1 and conjugate axis
1
2
None of these
Validate
Solution:
No option is correct
Positive end of minor axis (0,1) but mid-pt be (h,k) x=2h, y=2k–1 lies on ellipse
4
h
2
+ 4
(
2
k
−
1
)
2
= 4 ⇒
h
2
1
+
(
k
−
1
2
)
2
1
2
= 1
Here on ellipse of centre
(
0
,
1
2
)
, major axis 2, minor axis 1
© examsnet.com
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