cameroon gce A level June 2023 further mathematics 1
cameroon gce A level June 2023 further mathematics 1
The Cartesian equation of a curve whose polar equation
is r = 2a cos0 is
15. How many distinct solutions are there to the congruence
12x = 15(mod 21)?
A 1
B 2
C 3
D 4
16.The asymptotes to the curve y = /(2), where
A x2 + y2 – 2ax = 0
x 2 + y2 — 2ay = 0
C x2 + y2 + 2ax = 0
D x2 + y2 + 2ay = 0
B
-2
11. The coordinates of the focus of the parabola / (2) = 2 — 1 + ln —
y2 = 1G( X + l) is
A (4, 0)
B (0, 4)
C (0, 3)
D (3, 0)
are
x — 1
A 2 = 1, x — 2
y = x — 1, 2 = 2
C y = 2 — 1, 2 = 1
D y — X — 1, 2 = 2, 2 = 1
B
12. Given that
(i – 4k ) x (2i – A j- k ) = -4i – 7j- k
the value of A is
17. The statement 2 + 1 = 3 , is true for
A all
.
real values
B at most one value
C at least one value
D just one value
A 1
B 0
C -1
D -2 18. A function / is defined by
13. A linear transformation, T , is defined as follows
2 < 0 2 = 0 2 > 0.
Which one of the following statements is true?
A / is odd
B / is discontinuous at x = 0
C / is an even function
D / is periodic
—2
T : R 2 M2 /(*) = o,
{ x, y ) ( x – 2 y, x + y ) X
The Kernel of T is:
A (0,0)
B {(0,0)}
c 0
D {0,0} 19. The value of x for which sinh l (2x ) = In 4 is:
17
A
14. Given that ([a, 6,c, d j,*) whose operation table is
given below, is a group, then the identity element is
16
15
B
8
15
* a b c d C
16
a b c d a 17
D
b c d a b 8
20. A similarity transformation (similitude) /, on a
complex plane is defined by z = (3 — 4i } z + 1 + i .
Its scale factor is
c d a b c
d a b c d
A a
B b A 1
B V2
C 3
D 5