Unit-6:
(a)Mensuration
(b)Trigonometry
(c)Geometry
(d)Co-ordinate geometry
Q1.
The length and breadth of an cuboid is increase in 5% and 4% , find the increase in % of the volume of cuboid.
(a) 9.4% (b) 9.2% (c) 6% (d) 8%
Solution.
(b) 9.2%
Solution
Q2.
Radius and volume of a cone and sphere are same , find the ratio of diameter of sphere and height of cone .
(a) 1:6 (b) 4:1 (c) 1:2 (d) 1:3
Solution.
(c) 1:2
Solution
Q3.
Radius and height of right circular cylinder is increased by 10% and 20% respectively. find percentage increase in volume of cylinder .
(a) 30% (b) 20% (c) 45.2% (d) 48.2%
Solution.
(c) 45.2%
Solution
Q4.
If secθ - cosecθ = 0 , So find the value of √2(secθ + cosecθ)
(a) 1 (b) √2
(c) 2 (d) 4
Solution.
(d) 4
secθ = cosecθ
1/cosθ = 1/sinθ
sinθ = cosθ
θ = 45o
Solution
Q5.
sin6θ - cos6θ/
sin2θ - cos2θ
is equal to .
(a) 1 (b) sin4θ (c) 2 (d) 1 - sin2θ . cos2θ
Solution.
(d) 1 - sin2θ . cos2θ
Note : a 3 - b3 = (a - b)
(a2 + ab + b2)
Solution
Q6.
If sinθ + sin2θ = 1 , so find the value of cos12θ + 3cos10θ + cos8θ + 3cos6θ
- 1 .
(a) 3 (b) 2 (c) 0 (d) 1
Solution.
sinθ = 1 - sin2θ
sinθ = cos2θ
= sin6θ + 3sin5θ + 3sin4θ + sin3θ - 1
= (sin2θ + sinθ)3 - 1
= 0
Solution
Q7.
The co-ordinates of a triangle are (0,0)(16,0)(0,4)
(a) 32 unit2 (b) 12 unit2
(c) 6 unit2 (d) 4 unit2
Solution.
(a) 32 unit2
Solution
Q8.
Find the slope of line 3x + 2y + 5 = 0
(a) -3/2 (b) 1/2 (c) 3/2 (d) 4/5
Solution.
Note : Slope =
- coefficient of x/
coefficient of y
=
-3/2
Solution
Q9.
G is the centroid of the triangle of ABC . The area of the triangle ABC is 180 cm2. Find the area of the triangle GAC .
(a) 60 cm2 (b) 90 cm2 (c) 100 cm2 (d) 45 cm2
Solution.
(a) 60 cm2
Solution
Q10.
Two circles touches externally. Sum of their areas is 130πm2. The distance between their centers is 14 m . Find the radius of smaller
circle.
(a) 1 (b) 2 (c) 3 (d) 4
Solution.
(c) 3
Solution
