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Circles

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Question

Fill in the blanks :
There can be only one ________ of the circle .

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Solution

Centre: An internal point that maintains equal distance from every point on a circle is called the center of a circle.

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Q. Which of the following statements is not true?
(a) If a point P lies inside a circle, no tangent can be drawn to the circle passing through P.
(b) If a point P lies on a circle, then one and only one tangent can be drawn to the circle at P.
(c) If a point P lies outside a circle, then only two tangents can be drawn to the circle from P.
(d) A circle can have more than two parallel tangents parallel to a given line.

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

Q. Fill in the blanks
The longest chord of a circle is a ____ of the circle.

Q. Fill in the blanks :
(a) While we make a circle by thread and nail the nail will rest on the ________ . (center/Boundary)
(b) While making a circle by bangle we ____ draw a circle of any given radius. (can/can not)
(c) ________ can be used to draw a circle. (Dish /Scale)

Fill in the blanks :

The number of circles that can be drawn with a given centre and a point is _____

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