Directions (Q. 1-5): Solve the following questions -

1. Maximum value of (2 sin Ө + 3 cos Ө) is

a) 2

b) √13

c) √15

d) 1

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2. The value of 152(sin 30ᵒ + 2 cos2 45ᵒ + 3 sin 30ᵒ + 4cos2 45ᵒ + ....+ 17 sin 30ᵒ + 18 cos2 45ᵒ) is

(a) an integer but not a perfect square

(b) a rational number but not an integer

(c) a perfect square of an integer

(d) irrational 

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3. If (1 + sin α) (1 + sin β) (1 + sin γ) = (1 - sin α) (1 - sin β) (1 - sin γ), then each side is equal to

a) ± sin α cos β cos γ

b) ± sin α sin β sin γ

c) ± sin α cos β cos γ

d) ± sin α sin β cos γ

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4. One of the four angles of a rhombus is 60°. If the length of each side of the rhombus is, 8 cm, then the length of the longer diagonal is

a) 8√3 cm

b) 8 cm

c) 4√3 cm

d) 8/√3 cm

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5. If the arcs of square length in two circles subtend angles of 60° and 75° at their centres the ratio of their radii is

(a) 3 : 4

(b) 4 : 5

(c) 5 : 4

(d) 3 : 5 

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