Prove that a line cannot intersect a circle at more two points .

Provet that a stralght line and parabola connot intersect at more than two points.

A straight line and parabola cannot intersect at more than ____ points.

A secant is a line which intersects the circle at two distinct points and the line segment between the points is a chord.

A line which intersects a circle at two distinct point is called _____.

Fill in the blanks (i) A tangent to a circle touches it in …... Point (s). (ii) A line intersecting a circle in two points is called a ….. (iii) Number of tangents can be drawn to a circle parallel to the given tangent is …. (iv) The common point of a Tangent to a circle and the circle is called ..... (v) We can draw ..... tangents to a given circle. (vi) A circle can have ..... parallel tangents at the most.

Prove that any three points on a circle cannot be collinear.

Two variable chords AB and BC of a circle x^(2)+y^(2)=a^(2) are such that AB=BC=a . M and N are the midpoints of AB and BC, respectively, such that the line joining MN intersects the circles at P and Q, where P is closer to AB and O is the center of the circle. The locus of the points of intersection of tangents at A and C is

A straight line that touches a circle at a common point is called a ___.

In the adjoining figure,seg AB is a diameter of a circle with centre O . Bisector of inscribed angleACB intersects circle at point D. Complete the following proof by filling in the blanks. Prove that : seg AD ~= seg BD

A Tangent to a circle is a line which touches the circle at only one point.