If `A\ a n d\ B` are two points on a circle such that `m\ ( hat A B)=260^0dot` A possible value for the angle subtended by arc `B A` at a point on the circle is (a)`100^0` (b) `75^0` (c) `50^0` (d) `25^0`

The chord of a circle is equal to its radius. The angle subtended by this chord at the minor arc of the circle is (a) 60^0 (b) 75^0 (c) 120^0 (d) 150^0

In Figure, if A B||C D , then x= (a) 100^0 (b) 105^0 (c) 110^0 (d) 115^0

Let C be the mid-point of an arc A B of a circle such that m\ hat A B=183^0dot If the region bounded by the arc A C B and line segment A B is denoted by S , then the centre O of the circle lies (a) in the interior of S (b) in the exterior of S on the segment A B (d) on A B and bisects A B

A ,\ B\ a n d\ C are three points on a circle such that the angles subtended by the chords A B\ a n d\ A C at the centre O are 90^0a n d\ 110^0,\ respectively. Determine /_B A Cdot

In Figure, if lines l\ a n d\ m are parallel, then the value of x is (a) 35^0 (b) 55^0 (c) 65^0 (d) 75^0

In Figure, O is the centre of the circle and /_D A B=50^0dot Calculate the values of x\ a n d\ y

A B\ a n d\ C D are diameters of a circle with centre Odot If /_O B D=50^0, find /_A O C

Two supplementary angles differ by 40^0dot The measure of the larger angle is (a) 70^0 (b) 80^0 (c) 110^0 (d) 100^0

Two complementary angles differ by 20^0dot The smaller angle is (a) 55^0 (b) 25^0 (c) 65^0 (d) 35^0

In a rhombus A B C D , if /_A C B=40^0, then /_A D B= (a) 70^0 (b) 45^0 (c) 50^0 (d) 60^0