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Byju's Answer
Standard XII
Mathematics
Equation of Pair of Tangents: Hyperbola
28. Let a var...
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28. Let a variable line drawn from A(h,k) intersects the ellipse x+2y=1 at P and Q. The tangents at P and Q intersects at R and the locus of R is βx+(β+1)y=1. Find the values of β such that point A lies inside the ellipse
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Q.
If a variable tangent to the circles
x
2
+
y
2
=
1
intersects the ellipse
x
2
+
2
y
2
=
4
at points P and Q then the locus of the point of intersection of tangents to the ellipse at P and Q is a conic whose
Q.
If a variable tangent of the circle
x
2
+
y
2
=
1
intersect the ellipse
x
2
+
2
y
2
=
4
at P and Q then the locus of the points of intersection of the tangents at P and Q is
Q.
A variable tangent to the circle
x
2
+
y
2
=
1
intersects the ellipse
2
x
2
+
y
2
=
4
at
P
and
Q
. The locus of the point of intersection of the tangents at
P
and
Q
is
Q.
The locus of point of intersection of tangents drawn at
α
,
β
on the ellipse
x
2
a
2
+
y
2
b
2
=
1
such that
α
−
β
=
π
3
is:
Q.
If the tangent to ellipse
x
2
+
2
y
=
1
at point
P
(
1
√
2
,
1
2
)
meets the auxiliary circle at the points
R
and
Q
, then tangents to circle at
Q
and
R
intersect at
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Equation of Pair of Tangents: Hyperbola
Standard XII Mathematics
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