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Unit 6

Q1. Half of the diagonal of a square is 14 . find its area ?

(a) 150 cm2 (b) 120cm2 (c) 100cm2 (d) 392cm2

Solution.
(d) 392cm2
Solution

Q2. The radius of a circle is increased by 8%, find the percentage change in its area.

(a) 19.6% (b) 22% (c) 16.64% (d) 10%

Solution.
(c) 16.64%
Solution

Q3. Find the ratio of an square and an equilateral triangle having side x.

(a) 1:√3 (b) 4:√3 (c) 1:1 (d) 2:1

Solution.
(b) 4:√3
Solution

Q4. Find the value of:
cot 15o . cot 20o . cot 70o . cot 75o + tan 45o .

(a) 4 (b) 2 (c) 3 (d) 1

Solution.
(b) 2
Solution

Q5. If 4cotA = 5, so find the value of
5sinA - 3cosA/sinA + 2cosA


(a) 5/14 (b) 1/14 (c) 4/14 (d) 6/11

Solution.
(a) 5/14
Solution

Q6. If sin(θ + 30o) = 3/√12 , so find the value of sin2θ .

(a) 1/8 (b) 1/4 (c) 1/2 (d) 1/6

Solution.
(b) 1/4
Solution

Q7. In a polygon internal angle is 108o more than its external angles. find the total number of sides.

(a) 10 (b) 12 (c) 8 (d) 5

Solution.
(a) 10
Solution

Q8. Find the angle between the line x - y = 0 and x + y = 0.

(a) 2π/3 (b) π/3 (c) π (d) π/2

Solution.
(c) π
Solution

Q9. Which pair is not the solution of equation x - 2y = 14 .

(a) (8,-3) (b) (6,-4) (c) (0,-7) (d) (0,-8)

Solution.
(d) (0,-8)
Solution

Q10. Two circles having radius 6.3 m and 3.6 m respectively. They touches internally . find the distance between their centers.

(a) 63 (b) 3.6 (c) 7.2 (d) 2.7

Solution.
(d) 2.7
Solution