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For the circle
MATHEMATICS · Single correct · CBSE · Mathematics · Circles · Circles
Problem
For the circle
(
x
−
1
)
2
+
(
y
+
2
)
2
=
25
(x-1)^2+(y+2)^2=25
(
x
−
1
)
2
+
(
y
+
2
)
2
=
25
, a point
P
(
k
,
1
)
P(k,1)
P
(
k
,
1
)
is taken on the line
y
=
1
y=1
y
=
1
. For which values of
k
k
k
can two tangents be drawn from
P
P
P
to the circle? (a)
−
3
<
k
<
5
-3<k<5
−
3
<
k
<
5
(b)
k
≥
5
or
k
≤
−
3
k\ge 5 \text{ or } k\le -3
k
≥
5
or
k
≤
−
3
(c)
k
>
5
or
k
<
−
3
k>5 \text{ or } k<-3
k
>
5
or
k
<
−
3
(d)
k
>
4
or
k
<
−
4
k>4 \text{ or } k<-4
k
>
4
or
k
<
−
4
Related theory
Circle (Standard Equation)
Conic Sections
Circles
Equation of a circle
Coordinate Geometry
Tangent length properties
Tangent to a Circle
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