Question Answers

3. If two equal chords of a circle intersect within the circle, prove that the line joining the point of intersection to the centre makes equal angles with the chords. 3. If two equal chords of a circle intersect within the circle prove that the line joining the point of intersection to the centre makes [...]

2. If two equal chords of a circle intersect within the circle, prove that the segments of one chord are equal to corresponding segments of the other chord. 2. If two equal chords of a circle intersect within the circle prove that the segments of one chord are equal to corresponding segments of the other [...]

1. Two circles of radii 5 cm and 3 cm intersect at two points and the distance between their centres is 4 cm. Find the length of the common chord. 1. Two circles of radii 5 cm and 3 cm intersect at two points and the distance between their centres is 4 cm. Find the [...]

3. If two circles intersect at two points, prove that their centres lie on the perpendicular bisector of the common chord. 3. If two circles intersect at two points prove that their centres lie on the perpendicular bisector of the common chord. October 15, 2020 Category: Chapter 10 - Circles , Maths , NCERT Class [...]

2. Suppose you are given a circle. Give a construction to find its centre. 2. Suppose you are given a circle. Give a construction to find its centre. October 15, 2020 Category: Chapter 10 - Circles , Maths , NCERT Class 9 ,

1. Draw different pairs of circles. How many points does each pair have in common? What is the maximum number of common points? 1. Draw different pairs of circles. How many points does each pair have in common? What is the maximum number of common points? October 15, 2020 Category: Chapter 10 - Circles , [...]

2. Prove that if chords of congruent circles subtend equal angles at their centres, then the chords are equal. 2. Prove that if chords of congruent circles subtend equal angles at their centres then the chords are equal. October 15, 2020 Category: Chapter 10 - Circles , Maths , NCERT Class 9 ,

1. Recall that two circles are congruent if they have the same radii. Prove that equal chords of congruent circles subtend equal angles at their centres. 1. Recall that two circles are congruent if they have the same radii. Prove that equal chords of congruent circles subtend equal angles at their centres. October 15, 2020 [...]

2. Write True or False: Give reasons for your Solutions. (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 arcs, each is a major arc. (iv) A [...]

1. Fill in the blanks: (i) The centre of a circle lies in ____________ of the circle. (exterior/ interior) (ii) A point, whose distance from the centre of a circle is greater than its radius lies in __________ of the circle. (exterior/ interior) (iii) The longest chord of a circle is a _____________ of the [...]