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Byju's Answer
Standard XII
Mathematics
Position of a Point W.R.T Ellipse
The point 4,-...
Question
The point (4,-3) lies inside the ellipse
5
x
2
+
7
y
2
=
140
.
A
False
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B
True
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Solution
The correct option is
A
False
Suggest Corrections
0
Similar questions
Q.
The point (4,-3) lies inside the ellipse
5
x
2
+
7
y
2
=
140
.
Q.
Assertion :The point P
(
1
,
−
3
)
lies inside the ellipse
5
x
2
+
7
y
2
=
140
Reason: Let
S
=
5
x
2
+
7
y
2
−
140
and point P be
(
1
,
−
3
)
then
S
1
>
0
Q.
Assertion :The point P
(
4
,
−
3
)
lies outside the ellipse
5
x
2
+
7
y
2
=
140
Reason: Let
S
1
=
5
x
2
+
7
y
2
−
140
and point P be
(
4
,
−
3
)
then
S
1
>
0
Q.
Let
5
x
2
+
7
y
2
=
140
, then
Position of
(
4
,
−
3
)
relative to the ellipse is
Q.
Is the point
(
4
,
−
3
)
within or without the ellipse
5
x
2
+
7
y
2
=
11
2
?
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