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. Write ‘True’ or ‘False’ and justify your answer

Solution:

Consider r as the radius of the circle

d as the distance of point from the centre

Here

r = 3.5 cm

d = 3 cm

We know that

r > d

Point P lies inside the circle

So no tangent is possible.

Therefore, the statement is false.

✦ Try This: A pair of tangents can be constructed from a point P to a circle of radius 4.5 cm situated at a distance of 4 cm from the centre.

☛ Also Check: NCERT Solutions for Class 10 Maths Chapter 11

NCERT Exemplar Class 10 Maths Exercise 10.2 Problem 3

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. Write ‘True’ or ‘False’ and justify your answer

Summary:

The statement “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” is false

☛ Related Questions:

• A pair of tangents can be constructed to a circle inclined at an angle of 170°. Write ‘True’ or ‘Fal . . . .
• Draw an equilateral triangle ABC of each side 4 cm. Construct a triangle similar to it and of scale . . . .
• Draw a line segment of length 7 cm. Find a point P on it which divides it in the ratio 3:5