If PA and PB are two tangents to a circle with centre O such that ∠APB = 80°, then, ∠AOP = ?
40°
50°
60°
70°
B.
50°
∠APB = 80° [ Given ]
∠OAP = ∠OBP = 90°
[ Angle to the point of contact of Tangent ]
∠AOB = 360 - (80 + 90 + 90)
[ Sum of angles of quadrilateral is 360° ]
Which one of the following is the minimum value of the sum of two integers whose product is 24?
25
11
8
10
The average marks obtained by a class of 60 students is 65. The average marks of half of the students is found to be 85. The average marks of the remaining students is:
35
45
55
65
Which of the set of three sides can't form a triangle?
5cm, 6cm, 7cm
5cm, 8cm, 15 cm
8cm, 15cm, 18cm
6cm, 7cm, 11cm
AB is the diameter of a circle with centre O and P be a point on its circumference. If ∠POA = 120°, then the value of ∠PBO is
30°
60°
50°
40°
A pilot in an aeroplane at an altitude of 200 m observes two points lying on either side of a river. If the angles of depression of the two points be 45° and 60°, then the width of the river is
A solid sphere of radius 9 cm is melted to form a sphere of radius 6 cm and a right circular cylinder of same radius. The height of the cylinder so formed
is
19 cm
21 cm
23 cm
25 cm