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.

True

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False

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Solution

The correct option is B
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.

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Similar questions

A pair of tangents can be constructed from a point P at a distance of 3 cm from the centre of a circle whose radius is 3.5 cm.

Write True or False and give reasons for your answer in the following:

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 center.

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.
]

Q. Draw two tangents to a circle of radius 3.5 cm from a point P at a distance of 6.2 cm from its centre.

Draw a circle of radius 3.5 cm. Mark a point P outside the circle at a distance of 6 cm from the centre. Construct two tangents from P to the given circle. Measure and write down the length of one tangent.

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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.

The correct option is B 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.

The correct option is B
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.