PQ is the chord of a circle whose centre is O. ROS is a line segment originating from a point R on the circle that intersect PQ produced at point S such that QS = OR. If ∠QSR = 30°, then what is the value (in degrees) of POR?
1). 30
2). 45
3). 60
4). 90
The coordinates of one end point of a diameter of a circle are (2, 4) and the coordinates of its centre are (1, 2). Find the co-ordinates of other end of the diameter.
1). (2, 1)
2). (1, 0)
3). (3, 1)
4). (0, 0)
ABCD is a quadrilateral such that angle D = 90°. A circle touches the sides AB, BC, CD and DA at P, Q, R and S respectively If BC = 24 cm, CD = 25 cm and BP = 6 cm. Find the radius of circle.
1). 7 cm
2). 13 cm
3). 17 cm
4). 6 cm
A line passing through the origin perpendicularly cuts the line 3x - 2y = 6 at point M. Find M?
Which of the following conditions is correct for a right angled triangle?
1). Sum of the two angles of a triangle is greater than the third angle
2). Sum of the two angles of a triangle is less than the third angle
3). Sum of the two angles of a triangle is equal to the third angle
4). None of these