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Byju's Answer
Standard XII
Mathematics
Directrix of Ellipse
The length of...
Question
The length of the latus-rectum of the conic
3
x
2
+
4
y
2
−
6
x
+
8
y
−
5
=
0
is
unit.
Open in App
Solution
3
x
2
+
4
y
2
−
6
x
+
8
y
−
5
=
0
⇒
3
(
x
2
−
2
x
)
+
4
(
y
2
+
2
y
)
=
5
⇒
3
(
x
2
−
2
x
+
1
)
+
4
(
y
2
+
2
y
+
1
)
=
5
+
3
+
4
⇒
3
(
x
−
1
)
2
+
4
(
y
+
1
)
2
=
12
⇒
(
x
−
1
)
2
4
+
(
y
+
1
)
2
3
=
1
So,
a
=
2
and
b
=
√
3
(
a
>
b
)
.
∴
Latus rectum
=
2
b
2
a
=
2
×
3
2
=
3
unit
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0
Similar questions
Q.
The latus-rectum of the conic 3x
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(a) 3
(b)
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(d) none of these
Q.
The length of the latus-rectum of the conic
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