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Byju's Answer
Standard X
Mathematics
Converse of Basic Proportionality Theorem
show that y=x...
Question
show that y=x+c\sqrt2 touches the circle x^2+y^2=c^2 and find its point of contact
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Similar questions
Q.
Prove that the straight line
y
=
x
+
c
√
2
touches the circle
x
2
+
y
2
=
c
2
, and find its point of contact.
Q.
The chord of contact of tangents drawn from any point on the circle
x
2
+
y
2
=
a
2
to the circle
x
2
+
y
2
=
b
2
touches the circle
x
2
+
y
2
=
c
2
. Show that
a
,
b
,
c
are in G.P.
(
a
>
b
)
.
Q.
Prove that the tangent to the circle
x
2
+
y
2
=
5
at the point
(
1
,
−
2
)
also touches the circle
x
2
+
y
2
−
8
x
+
6
y
+
20
=
0
and find its point of contact.
Q.
If the locus of a point which moves so that the line joining the point of contact of the tangents drawn from it to the circle
x
2
+
y
2
=
b
2
touches the circle
x
2
+
y
2
=
a
2
, is the circle
x
2
+
y
2
=
c
2
, then
a
,
b
,
c
are in
Q.
If the chord of contact of tangents from a point on the circle
x
2
+
y
2
=
a
2
to the circle
x
2
+
y
2
=
b
2
touches the circle
x
2
+
y
2
=
c
2
, then
a
,
b
,
c
are in
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Basic Proportionality Theorem
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Converse of Basic Proportionality Theorem
Standard X Mathematics
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