Question

Question 3
State whether the following is true or false.
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.
[Thinking process
Let r = radius of circle and d = distance of a point from the centre.
1. If r = d, then point lie on the circle i.e only one tangent is possible
2. If r < d, then point lie outside the circle. i.e a pair of tangent is possible.
3. If r>d, then point lie inside the circle i.e no tangent is possible.
]

Answer 1

False
Since the radius of the circle is 3.5 cm i.e r =3.5 cm and point P situated at a distance of 3 cm from the centre i.e d = 3cm
We see that r > d i.e a point P lies inside the circle. So no tangent can be drawn to a circle from a point lying inside it.