10 extra questions and answers from chapter 10 subject maths for class 9
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1.A,B and C are 3 points on a circle. Proof that the perpendicular bisector of AB,BC and CA are concurrent
2. Two equal chords AB and CD of a circle when produced meet at a point P. prove that PB=PD
3. ab equilateral triangle is inscribed in a circle. find the radius of the circle
4. find the length of a chord which is at a distance of 4cm from the centre if a circle of radius 5cm
5.a circle if 30cm diameter has a24cm chord. what is the distance of the chord from the centre
6. show that if 2 chords of a circle bisector 1 another then they must be a diameters.
7. prove that the circle drawn on any one of the equal sides of ab isosceles triangle as diameter its base.
8. prove that the mid point of the hypotenuse of a right triangle equidistant from its vertices
9. prove that any cyclic llgm is a rectangle
10. prove that the centre of the circle circumscribing cyclic rectangle ABCD is a point of intersection of is diagonal
2. Two equal chords AB and CD of a circle when produced meet at a point P. prove that PB=PD
3. ab equilateral triangle is inscribed in a circle. find the radius of the circle
4. find the length of a chord which is at a distance of 4cm from the centre if a circle of radius 5cm
5.a circle if 30cm diameter has a24cm chord. what is the distance of the chord from the centre
6. show that if 2 chords of a circle bisector 1 another then they must be a diameters.
7. prove that the circle drawn on any one of the equal sides of ab isosceles triangle as diameter its base.
8. prove that the mid point of the hypotenuse of a right triangle equidistant from its vertices
9. prove that any cyclic llgm is a rectangle
10. prove that the centre of the circle circumscribing cyclic rectangle ABCD is a point of intersection of is diagonal
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