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Byju's Answer
Standard XII
Mathematics
Integration Using Substitution
For the equat...
Question
For the equation of ellipse,
x
2
4
+
y
2
9
=
1
,
what does
S
1
correspond to
A
S
1
=
x
x
1
4
+
y
y
1
9
−
1
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B
S
1
=
x
x
1
2
+
y
y
1
3
−
1
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C
S
1
=
x
x
1
4
+
y
y
1
9
+
1
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D
S
1
=
x
x
1
4
+
y
y
1
9
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Solution
The correct option is
A
S
1
=
x
x
1
4
+
y
y
1
9
−
1
We know for the equation
x
2
a
+
y
2
b
=
1
,
S
1
corresponds to
S
1
=
x
x
1
a
+
y
y
1
b
−
1
. Therefore S1 corresponds to
S
1
=
x
x
1
4
+
y
y
1
9
−
1
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0
Similar questions
Q.
For the equation of ellipse,
x
2
4
+
y
2
9
=
1
what does S correspond to
Q.
Equation of tangent at
(
−
3
,
−
4
)
to ellipse
x
2
9
+
y
2
16
=
1
Q.
An ellipse has eccentricity
1
2
and one of the foci at the point
S
(
1
2
,
1
)
.
One of the directrices of the ellipse is the common tangent to the circle
x
2
+
y
2
=
1
and the hyperbola
x
2
−
y
2
=
1
,
corresponding to the focus
S
.
The equation of the ellipse in standard form is
Q.
Consider equation of ellipses as:
E
1
:
x
2
25
+
y
2
9
=
1
E
2
:
x
2
9
+
y
2
4
=
1
E
3
:
x
2
9
+
y
2
25
=
1
Which of the following is/are true?
Q.
Equation of the common tangent to the ellipse
x
2
16
+
y
2
9
=
1
and the circle
x
2
+
y
2
=
12
is
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