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WBJEE 2022 Math Solved Paper
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© examsnet.com
Question : 75
Total: 75
Chords of an ellipse are drawn through the positive end of the minor axis. Their midpoint lies on
a circle
a parabola
an ellipse
a hyperbola
Validate
Solution:
x
2
a
2
+
y
2
b
2
=
1
x
1
+
0
2
=
h
y
1
+
b
2
=
k
⇒
x
1
=
2
h
⇒
y
1
=
2
k
−
b
x
1
2
a
2
+
y
1
2
b
2
=
1
⇒
4
h
2
a
2
+
(
2
k
−
b
)
2
b
2
=
1
⇒
h
2
a
2
∕
4
+
(
k
−
b
2
)
2
b
2
∕
4
=
1
∴
x
2
a
2
∕
4
+
(
y
−
b
2
)
2
b
2
∕
4
=
1
→
Locus of midpoint which is an ellipse
© examsnet.com
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