The derivative of cosec x is
tan x cosec x
-cot x cosec x
tan x sec x
-cot x sec x
Correct answer is B
cscx=1sinx
Using the quotient rule,
dydx=vdu−udvv2
= sinx(0)−1(cosx)(sinx)2
= −cosxsin2x
= (−cosxsinx)(1sinx)
= −cotxcscx
A school boy lying on the ground 30m away from the foot of a water tank tower observes that the angle of elevation of the top of the tank is 60°. Calculate the height of the water tank.
60m
30 √3m
20 √3m
10 √3m
h = 30 tan 60° = 30√3
P is on the locus of points equidiatant from two given points X and Y. UV is a straight line throuh Y parallel to the locus. If < PYU is 40°, find < XPY.
100o
80 o
50 o
40 o
< PYU = < YPQ = 40°(Alternative) = PQ∥UV < XPQ = < YPQ = 40°, Since QX = QY therefore < XPY = 80°
Two perpendicular lines PQ and QR intersect at (1, -1). If the equation of PQ is x - 2y + 4 = 0, find the equation of QR
x + 2y - 1= -0
2x + y - 3 = 0
x - 2y - 3 = 0
2x + y - 1 = 0
Correct answer is D
Line PQ : x - 2y + 4 = 0
2y = x + 4 ⟹y=x2+2
Slope = 12
Slope of the perpendicular line QR: −112=−2
Line QR: y=mx+b
y=−2x+b
Point of intersection: (1, -1)
−1=−2(1)+b⟹b=−1+2=1
y=−2x+1⟹y+2x−1=0
QR:2x+y−1=0
Find the distance between two towns P(45°N, 30°W) and Q(15°S, 30°W) if the radius of the earth is 7000km. [π=227]
11003km
22003km
220003km
Correct answer is C
Angular difference = 45° + 15° = 60°.
D = \frac{60°}{360°} \times 2 \times \frac{22}{7} \times 7000
= \frac{22000}{3} km
English Language
Mathematics
Biology
Chemistry
Physics
Agricultural Science
Geography
Government
Economics
History
Fine Arts
Commerce
Music
Physical Education
Further Mathematics
Literature in English
Islamic Religious Knowledge
Christian Religious Knowledge
Office Practice
Marketing
Civic Education
Insurance
Accounting
Personality Test
Nigeria General Knowledge Questions and Answers
Verbal Reasoning Questions and Answers
Logical Reasoning Questions and Answers
Puzzles Questions and Answers
Numerical Reasoning Questions and Answers
Spatial Reasoning Questions and Answers
Quantitative Reasoning Questions and Answers
Abstract Reasoning Questions and Answers
Microsoft Office Questions and Answers
Data Interpretation Questions and Answers
Typing Speed and Accuracy Test
Situational Judgement Questions and Answers
See all →