Write True or False and give reasons for your answer.
$A$ pair of tangents can be constructed from a point $P$ to a circle of radius $3.5 \, cm$ situated at a distance of $3 \, cm$ from the centre.
$A$ pair of tangents can be constructed from a point $P$ to a circle of radius $3.5 \, cm$ situated at a distance of $3 \, cm$ from the centre.
(B) False.
The radius of the circle is $r = 3.5 \, cm$ and the distance of point $P$ from the centre is $d = 3 \, cm$.
Since $d < r$ $(3 \, cm < 3.5 \, cm)$,the point $P$ lies inside the circle.
$A$ tangent to a circle is a line that touches the circle at exactly one point. If a point lies inside the circle,no tangent can be drawn from that point to the circle.
The radius of the circle is $r = 3.5 \, cm$ and the distance of point $P$ from the centre is $d = 3 \, cm$.
Since $d < r$ $(3 \, cm < 3.5 \, cm)$,the point $P$ lies inside the circle.
$A$ tangent to a circle is a line that touches the circle at exactly one point. If a point lies inside the circle,no tangent can be drawn from that point to the circle.
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