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Byju's Answer
Standard XII
Mathematics
Length of Tangent
35. The tange...
Question
35. The tangent at any point on circle xx+yy=2 cuts the axes in L and M then locus of midpoint of LM is
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Q.
Consider a tangent to the ellipse
x
2
2
+
y
2
1
=
1
at any point. The locus of the midpoint of the portion intercepted between the axes is
Q.
Tangent at any point on the hyperbola
x
2
a
2
−
y
2
b
2
=
1
cut the axes at A and B respectively. If the rectangle
O
A
P
B
(where O is origin) is completed then locus of point
P
is given by
Q.
The tangent at any point to the circle
x
2
+
y
2
=
r
2
meets the coordinate axes at
A
and
B
. If lines drawn parallel to the coordinate axes through
A
and
B
intersect at
P
, then the locus of
P
is
Q.
From any point P on the circle
x
2
+
y
2
=
9
two tangents are drawn to circle
x
2
+
y
2
=
4
which cut
x
2
+
y
2
=
9
at A and B then locus of point of intersection of tangents drawn
x
2
+
y
2
=
9
at A and B is the curve
Q.
The equation of circle passing through the origin and cutting off equal intercepts of
4
units on the lines
x
y
=
0
can be
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Standard XII Mathematics
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