If a line touches the given circle at only one point then its called___.

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

Prove that the locus of the center of the circle which touches the given circle externally and the given line is a parabola.

Two circles are given such that they neither intersect nor touch. Then identify the locus of the center of variable circle which touches both the circles externally.

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

The length of the diameter of the circle which touches the x-axis at the point (1,0) and passes through the point (2,3)

What is the distance between two parallel tangents of a circle having dradius 4 . 5 cm . Justify your answer Given : (i) A circle with center O and radius 4.5 cm . (ii) Line l is tangent to the circle at point A (iii) Line m is tangent to the circle at point B

Two circles are given such that one is completely lying inside the other without touching. Prove that the locus of the center of variable circle which touches the smaller circle from outside and the bigger circle from inside is an ellipse.

The length of the diameter of the circle which touches the x -axis at the point (1,0) and passes through the point (2,3).

The length of the tangent to a circle from a point P, which is 25 cm away from the centre is 24 m. What is the radius of the circle?