When a circle and a line are in a plane, they may have ____ point/points of intersection.

zero

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infinite

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one

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two

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Solution

The correct options are
A zero
C one
D two

When a circle and a line lie in a plane, they can have either 0, 1 or 2 points of intersection, as shown in the given figure.The line which touches the circle at only one point is called the tangent of the circle and the line which touches the circle at two points is called the secant of the circle.

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Similar questions

When a circle and a line are in a plane, they can have only two points of intersection.

Fill in the blanks:
(i) The common point of a tangent and the circle is called___
(ii)A circle may have___ parallel tangents.
(iii)A tangent to a circle intersects it in___ point(s).
(iv)A line intersecting a circle in two points is called a___
(v)The angle between tangent at a point on a circle and the radius through the points is___

Q. Fill in the blanks:

(i) The common point of a tangent and the circle is called ..........

(ii) A circle may have .............. parallel tangents.

(iii) A tangent to a circle intersects in it ............ point(s).

(iv) A line intersecting a circle in two points is called a ...........

(v) The angle between tangent at a point on a circle and the radius through the point is ........

Draw a circle of radius 4 cm. Draw two lines touching the circumference of the circle such that they intersect at an angle 60⁰. Draw a quadrilateral joining the centre of circle, points at which lines are touching and at the point they intersect. [3 MARKS]

Q. Which of the following statements are true?
(i) A line segment has no definite length.
(ii) A ray has no end-point.
(iii) A line has a definite length.
(iv) A line

\overset{\leftrightarrow}{A B}

is same as line

\overset{\leftrightarrow}{B A}

.
(v) A ray

\underset{A B}{\to}

is same as ray

\underset{B A}{\to}

.
(vi) Two distinct points always determine a unique line.
(vii) Three lines are concurrent if they have a common point.
(viii) Two distinct lines cannot have more than one point in common.
(ix) Two intersecting lines cannot be both parallel to the same line.
(x) Open half-line is the same thing as ray.
(xi) Two lines may intersect in two points.
(xii) Two lines are parallel only when they have no point in common.

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