CLASS - 9 MATHEMATICS

Which of the following is true?

• The perpendicular bisector of any chord of a circle passes through its centre.

• The perpendicular from the centre of a circle to a chord bisects the chord.

• Chords at the same distance from the centre are of the same length.

• All of these

1)

In the figure shown, AB is a chord of length 8cm, and perpendicular distance from centre is 3cm. Find the radius of the circle.

• 5 cm

• 4 cm

• 6 cm

• 7 cm

The bottom side of the quadrilateral in the picture is the diameter of the circle and the topside is a chord parallel to it. AB = 10cm & CD = 6cm. Find the area of the quadrilateral.

• 35 sq cm

• 32 sq cm

• 16 sq cm

• 30 sq cm

In the figure, O is the centre of the circle. AB and PQ are two chords at equal distances from the centre. AB = 12cm, OC = 8 cm. Choose the correct option;

• PQ = 12 cm, radius = 9 cm

• PQ = 10 cm, radius = 9 cm

• PQ = 12 cm, radius = 10 cm

• PQ = 10 cm, radius = 12 cm

In the figure O is the centre of the circle. AB & CD are parallel chords. The diameter of the circle is 30cm. AB = 18cm, CD = 24 cm. Find the distance between AB and CD.

• 21 cm

• 12 cm

• 20 cm

• 18 cm

In the figure, O is the centre of the circle. AB is perpendicular to CD. PA = 8cm, PB = 2cm. What is the length of CD?

• 10 cm

• 7 cm

• 9 cm

• 8 cm

How do we find the circumcenter of a triangle?

• By drawing perpendicular bisector of one side

• By drawing perpendicular bisector of any two sides

• By drawing angle bisector of any two angles.

• By drawing angle bisector of one angle.

In the figure AB is diameter and AC is a chord. If AB = 26cm and AC = 10 cm. Find the distance between the centre and the chord AC.

• 10 cm

• 13 cm

• 12 cm

• 8 cm

The components which influence the area of a triangle are:

• Length of sides

• The perimeter of the triangle

• Base and any one of the sides

• Base and height

The area of the triangle whose base is 12 cm and height 10 cm is:

• 120 cm²

• 60 cm²

• 30 cm²

• 240 cm²