Q2. If cos x + cos y = 2, the value of sin x + sin y is
(a) 0
(b) 1
(c) 2
(d) -1
Q4. In the given circle, AC is the diameter of the circle. ED is parallel to AC. ∠CBE = 65°, find ∠DEC.
(a) 35°
(b) 55°
(c) 45°
(d) 25°
Q5. In the figure AD = CD = BC and ∠BCE = 96°. How much is ∠DBC.
(a) 32°
(b) 84°
(c) 64°
(d) Indeterminate
Q6. In the following figure, O is the centre of the circle and ∠ABO = 30°, find ∠ACB.
(a) 60°
(b) 120°
(c) 75°
(d) 90°
Q7. In a cylindrical vessel of diameter 24 cm filled up with sufficient quantity of water, a solid spherical ball of radius 6 cm is completely immersed. Then the increase in height of water level is:
(a) 1.5cm
(b) 2 cm
(c) 3 cm
(d) 4.2 cm
Q10. The tops of two poles of height 20 m and 14 m of are connected by a wire. If the wire makes an angle 30° with the horizontal, then the length of the wire is
(a) 12 m
(b) 10 m
(c) 8 m
(d) None of these
Q12. The length of a ladder exactly equals the height of a wall. If the ladder is placed on a 2ft. tall stool placed 10 ft. away from the wall, then its tip can just touch the top of the wall. The height of the wall is
(a) 15 ft.
(b) 26 ft.
(c) 28 ft.
(d) 32 ft.
