Q. 25.0( 3 Votes )

Write True/False. Give reason also for your answers.

(i) Line segment joining the centre to any point on the circle is a radius of the circle.

(ii) A circle has only finite number of equal chords.

(iii) If a circle is divided into three equal parts, each is a major are.

(iv) A chord of a circle, which is twice as long as its radius, is a diameter of the circle.

(v) A circle is a plane figure.

(vi) The collection of those points in a plane, which are at a fixed distance from a fixed point in the plane, is called a diameter.

(vii) The chord on which centre lies is called radius.

Answer :

(i) True


We know that the constant distance is radius of a circle.


The line segment joining the centre to any point on the circle has constant distance.


Line segment joining the centre to any point on the circle is a radius of the circle.


(ii) False


In a circle, infinitely many diameters can be drawn.


A diameter is the longest chord.


a circle has infinitely many chords.


(iii) False


When a circle is divided into three equal parts, each part will be less than a semicircle.


(iv) True


We know that diameter is twice the radius i.e. d = 2r.


A chord of a circle, which is twice as long as its radius is a diameter of the circle.


(v) True


A circle is drawn on a plane which divides it into three parts.


A circle is a plane figure.


(vi) False


The collection of those points in a plane, which are at a fixed distance from a fixed point in the plane, is called a circle.


(vii) False


We know that if any chord passes through the centre of the circle then it is called the diameter of the circle.


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