Download Multiple Choice Questions (Higher Maths) - Mr

Multiple Choice Questions (Higher Maths)
Set 5
1. Which of the following is the equation of a line perpendicular to the
line x + 3y + 4 = 0.
A
y = 3x
B
y=x
C
1
x
3
y=
D
y=-
1
x
3
2. Which of the following functions is the inverse of the
function f(x) = x - 2
1
x2
A
1
x2
B -
C 2x + 1
D x+2
3. The line joining the points (-2,-3) and (6,k) has gradient
2
. The value
3
of ‘k’ is
7
3
A
B
17
3
C
25
3
D 9
4. cos(90 – x) is equal to
A
cosx B
-cosx
C sinx
D -sinx
5. The derivative of 4  9 x 4 2
1
A
C


9
4  9x 4
2


1
2
2 4  9 x 4  2


1
4  9x 4
2
B



1
1
2
 18 x 3 4  9 x 4
D


1
2
6. Given that x3 – 3x2 + 4 = (x + p)(x – q)2 for all x, then the
value of q is
A
2
B
1
C
0
D
-1
7. P(1, -2, 5), Q(2, -4, 4) and R(-1, 2, 7) are three collinear points.
The ratio PQ:QR equals
A
3:1
B
2:3 C
1:3
D -1 : 3
8. Given that the stationary values of x3 + kx , where k is a real number,
1
2
occur at the points where x   , then the value of k is
A
-
3
2
B
-
1
equals
2
1
A
B
2
5
4
C
-
3
4
D -
1
4
9. log 4
-
1
4
C
1
8
-
D
1
4
10. The number of distinct points in which the circle with equation
( x + 2)2 + (y – 3)2 = 4 , meets the coordinate axis is
A
0
B
1
C
2
D
3
11. If x = -1 is one root of f(x) = 0 and f (x) = 2x + 3 then
the other root is
A 2 B 0 C -2 D -3
12 The maximum value of sinx + cosx , x  R, is
A
1
2
B 2
1
2
C
D
2
13. The straight lines ay = 3x + 7 and y = 5x + 2 are perpendicular.
The value of ‘a’ is
3
5
A
14
B
-
1
5
C
-
3
5
D -15
3
2
Given that log a 64  , the value of ‘a’ is
A
8
B
16 C
42
2
3
D
96
15. Given that x + 1 is a factor of px3 + qx2 + px + q then
A p + 2q + 1 = 0 B 2q – p + 1 = 0
C p+q=0
D p–q=0
16. Given that the circle x2 + y2 – 11x – 10y + 24 = 0 cuts the
y axis at the points P and Q, the length of PQ is
A
2
B
5
C
10
D
11
17 The graph of y = log10x , lies entirely
A in the first quadrant
B above the x axis
C below the x axis
D to the right of the y axis
18. For what values of x is the function f ( x) 
1
1  x 
2
defined on the set
of real numbers
A
C
All x except x = -1 and x = 1
x > 1 only
D -1 < x < 1
19. If x  R and x2 > 9 and x <
A
x<0
B x > -3
1
which of the following is always true
3
C

20.
 1  cos x dx equals
0
A
0
B 1
C

B all x
D  -1
1
<x<3
3
D x < -3