Fill in the blanks:
(i) A tangent to a circle intersects it in ………… point(s).
(ii) A line intersecting a circle in two points is called a ………….
(iii) A circle can have parallel tangents at the most ………….
(iv) The common point of a tangent to a circle and the circle is called ………...

AcademicMathematicsNCERTClass 10

To do:

We have to fill in the blanks. 

Solution:

(i) A tangent line to a circle is a line that touches the circle at exactly one point(the point of contact), never entering the circle's interior.

There is only one line parallel to a tangent and touching the circle at only one point.

Therefore, A tangent to a circle intersects it in one point. 

(ii) In geometry, a secant of a curve is a line that intersects the curve at a minimum of two distinct points.

Therefore, A line intersecting a circle in two points is called a secant.

(iii) A tangent line to a circle is a line that touches the circle at exactly one point(the point of contact), never entering the circle's interior.

There is only one line parallel to a tangent and touching the circle at only one point.

Therefore,

A circle can have parallel tangents at the most two. 

(iv) A tangent line to a circle is a line that touches the circle at exactly one point(the point of contact), never entering the circle's interior.

Therefore, 

The common point of a tangent to a circle and the circle is called point of contact.

raja
Updated on 10-Oct-2022 13:23:34

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