- A50°
- B100°
- C130°
- D150°
Step-by-Step Solution
OAPB is a quadrilateral with angle OAP = angle OBP = 90°, so angle AOB = 180 - 50 = 130°.
Answer: C) 130°
A circular park has a lamp post at point P outside it. Two straight pathways are laid from P, each just touching the boundary of the park (tangents).
The two pathways meet the boundary at points A and B, and the angle between the pathways at P is 50°.
What is the measure of angle AOB at the centre O of the park?
Class 10Number of Tangents from a PointGeometry
Master this chapter in 30 minutes a day.
Don't just memorise the answer — build a daily practice habit.
Practice 5 Similar Questions Free →All Number of Tangents from a Point practice questions
More Class 10 Number of Tangents from a Point practice
Vikram stands at a point that is exactly on the edge of a circular fountain. He wants to…Sunita draws a circle and a straight line in the same plane. She then slides the line…A circular tabletop of radius 7 cm is being studied by Kabir. He picks a point exactly…Two circles of radii 4 cm and 3 cm have their centres 7 cm apart. First decide how the…Two circles of radii 5 cm and 2 cm have their centres 3 cm apart. Compare the distance…