If tan (A + 45˚) = 2sin60˚. Find value of A.

Floor of a room is of dimensions 5 m × 4 m and it is covered with circular tiles of diameters 50 cm each as shown in given figure.

(i) Find the radius of each circular tile having diameters 50 cm .

(a) 1 m

(b) 0.75 m

(c) 0.50 m

(d) 0.25 m

(ii) Find the area of rectangle having dimensions 5 m × 4 m.

(a) 17.5 m²

(b) 15 m²

(c) 21 m²

(d) 20 m²

(iii) Find the area of each circular tiles.

(a) 0.15 m²

(b) 0.251 m²

(c) 0.196 m²

(d) 1.80 m²

(iv) Find the area of floor that remains uncovered with tiles

(a) 4.32 m²

(b) 1.85 m²

(c) 3.73 m²

(d) 2.87 m²

(v) A line segment joining the centre and a point on the circle is called its …..

(a) diameter

(b) radius

(c) chord

(d) arc

A straight highway leads to the foot of tower. A man standing at the top of the tower observes a car at an angle of depression of 30°, which approaching the foot of the tower with a uniform speed. Six seconds later; the angle of depression of the car is found to be 60°.

(i) Find the time taken by the car to reach the foot of the tower from point D to B.

(a) 2 sec

(b) 3 sec

(c) 6 sec

(d) 4 sec

(ii) Write the value of 30^o.

(a) 2/3

(b) 3/2

(c) 1/3

(d) 3

(iii) Write the value of cosec 60^°.

(a) 3

(b) 2/3

(c) 3/2

(d) 1/3

(iv) The line drawn from the eye of an observer to the point in the object viewed by the observer.

(a) Horizontal time

(b) Vertical line

(c) Line of sight

(d) Parallel lines

(v) If the two lines are parallel; then the alternate opposite angles are …..

(a) different

(b) equal

(c) opposite

(d) None of these