If sin θ = xy and 0o < 90o then find 1tanθ
x√y2−x2
yx
√y2+x2y2−x2
y2−x2x
Correct answer is D
1tanθ = cosθsinθ
sinθ = xy
cosθ = √y2−x2y
The larger value of y for which (y - 1)2 = 4y - 7 is
2
4
6
7
8
Correct answer is B
(y - 1)2 = 4y - 7
y2 - 2xy + 1 = 4y - 7
y2 - 6y + 8 = 0
(y - 4)(y - 2)
y = 4 or 2 = 4
Two fair dice are rolled. What is the probability that both show up the same number of points.
136
736
12
13
16
Correct answer is E
A dice has 6 faces, 2 dice has 6 x 6 = 36 combined face
Prob. of both showing the same number of points
= 636
= 16
A right circular cone has a base radius r cm and a vertical angle 2yo. The height of the cone is
r tan yo cm
r sin yo cm
r cot yo cm
r cos yo cm
r cosec yo cm
Correct answer is C
rh = tan yo
h = rtanyo
= r cot yo
30
32
55
62
92
Correct answer is E
If y = cf(x)
cf(5) = 30 + 32 + 30
= 92