Question

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) A common point of a tangent to a circle and the circle is called ______.

Answer 1

(i) One point

Circle is the locus of points equidistant from a given point, the center of the circle, and nd Tangent is the line which intersect circle at one point only

(ii) Secant

A line which intersect circle in two points is called a chord if this line passes through center then it is called secant. (Points are A and B)

(iii) Two

As circle has infinite points, so there will be infinite tangents can be drawn on these points which touches at only one point. (P and Q)

So there will be infinite pairs of tangents which are parallel.

(iv) Point of Contact

The common point of a tangent to a circle and the circle is called point of contact. (P or Q in the given figure)