Why is it not possible to construct a pair of tangents from a point P situated at a distance of 3cmn from the centre
of a circle of radius 3.5cm?
Answers
What are Tangents to a circle?
When a line is drawn to a circle, and it has only one common point, or a single point of intersection with the circle, in that case, the line is called a tangent to the circle.
ATQ,
We have a circle of radius 3.5cm.
And, we are asked if we can draw a pair of tangents 3cm away from the radius.
The answer is No, Because;
A pair of tangents to a circle has only one point of intersection each, with the circle on the outer circumference. In this case, the radius of the circle is of 3.5cm, whereas the tangents are asked to be drawn 3cm away from the centre.
This distance is shorter than that of the radius, and when a point is kept 3cm away from the centre, only pairs of lines will be formed, and not tangents.
Hence, It is Not possible to construct a pair of tangents 3cm away from the centre of a circle of radius 3.5cm.
Answer:
A pair of tangents to a circle has only one point of intersection each, with the circle on the outer circumference. ... This distance is shorter than that of the radius, and when a point is kept 3cm away from the centre, only pairs of lines will be formed, and not tangents.