Further Mathematics Questions and Answers
Test your knowledge of advanced level mathematics with this aptitude test. This test comprises Further Maths questions and answers from past JAMB and WAEC examinations.
Test your knowledge of advanced level mathematics with this aptitude test. This test comprises Further Maths questions and answers from past JAMB and WAEC examinations.
Find the coordinates of the centre of the circle 4x2+4y2−5x+3y−2=0.
(−54,34)
(38,−58)
(58,−38)
(54,−34)
Correct answer is C
Equation : (x−a)2+(y−b)2=r2
Expanding : x2+y2−2ax−2by+a2+b2=r2
Given, 4x2+4y2−5x+3y−2=0
Divide through by 4 to make the coefficient of x2 and y2 to be 1.
x2+y2−54x+34y−12=0
Comparing, 2a=54⟹a=58
2b=−34⟹b=−38
(a,b)=(58,−58)
Given that (1−314)(−6P)=(3−26), find the value of P.
-8
-5
4
-3
Correct answer is D
(1−314)(−6P)=(3−26)
⟹(1×−6)+(−3×P)=3
−6−3P=3⟹−3P=9
P=−3
12
16
6
4
Correct answer is D
F=ma
32=8m⟹m=4kg
Find the least value of the function f(x)=3x2+18x+32
5
4
-3
-2
Correct answer is A
f(x)=3x2+18x+32
dydx=6x+18=0
6x=−18⟹x=−3
f(−3)=3(−32)+18(−3)+32=27−54+32=5
Find the coordinates of the point on the curve y=x2+4x−2, where the gradient is zero.
(-2, 10)
(-2, 2)
(-2, -2)
(-2, -6)
Correct answer is D
y=x2+4x−2
dydx=2x+4=0
2x=−4⟹x=−2
y(−2)=(−22)+4(−2)−2=4−8−2=−6
\therefore (x, y) = (-2, -6)