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Byju's Answer
Standard XII
Mathematics
Position of a Point W.R.T Ellipse
84. A point o...
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84. A point on the line x+2y-5=from which twoperpendicular tangents can be drawn to the ellipse6x^2+4y^2 -24 = 0 is(1) , 3)(2) (1, 2)(223(4) (5, 0)
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Q.
The points on the ellipse
x
2
+
4
y
2
=
2
, where the tangents are parallel to the line
x
−
2
y
−
6
=
0
are:
Q.
Tangent are drawn from the points on the line
x
−
y
−
5
=
0
to
x
2
+
4
y
2
=
4
, then all the chords of contact pass through a fixed point, whose coordinate are
Q.
Equation of pair of tangents drawn from
(
4
,
3
)
to the circle
x
2
+
y
2
=
4
is
Q.
From a point
P
tangents drawn to the circles
x
2
+
y
2
+
x
−
3
=
0
,
3
x
2
+
3
y
2
−
5
x
+
3
y
=
0
and
4
x
2
+
4
y
2
+
8
x
+
7
y
+
9
=
0
are of equal length. Find the equation of the circle through
P
which touches the line
x
+
y
=
5
at the point
(
6
,
−
1
)
.
Q.
From any point on the line
y
=
x
+
4
, tangents are drawn to the auxiliary circle of the ellipse
x
2
+
4
y
2
=
4.
If
P
,
Q
are the points of contact and
A
,
B
are the corresponding points of
P
and
Q
on the ellipse respectively, then the locus of the midpoint of
A
B
is
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