This post is Part 2 of the AA1 question paper series on HSC Mathematics. You may wish to refer to
Part 1 - HSC Maths before attempting this section. We presented 15 practice questions in Part 1. The Next set of 15 questions will be provided in this section.
16) If +\overrightarrow{b} \times (\overrightarrow{c} \times \overrightarrow{a})+\overrightarrow{c} \times (\overrightarrow{a} \times \overrightarrow{b})=\overrightarrow{x} \times \overrightarrow{y}, )
then
a) 
b) 
c) 
and 
are parallel
d) (or) (or) and are parallel
17) If 
, then 
is ………
a) 32
b) 8
c) 128
d) 0
18) If a line makes 
with positive direction of axes x and y, then the angle it makes with the z-axis is …….
a) 
b) 
c) 
d) 
19) The shortest distance of the point (2, 10, 1) from the plane  =2\sqrt{26} )
is ……..
a) 
b) 
c) 
d) 
20) 
is the equation of ……..
a) A straight line joining the points 
and 
b) xoy plane
c) yoz plane
d) zox plane
21) The point of intersection of the line +t(3\overrightarrow{i}+2\overrightarrow{j}+7\overrightarrow{k}) )
and the plane =8 )
is …………
a) (8, 6, 22)
b) (-8, –6, –22)
c) (4, 3, 11)
d) (-4, –3, –11)
22) The point of intersection of the line 
and 
is ………….
a) (0, 0 –4)
b) (1, 0, 0)
c) (0, 2, 0)
d) (1, 2, 0)
23) The centre and radius of the sphere given by the equation: 
are ……..
a) (-3, 4, –5), 49
b) (-6, 8, –10), 1
c) (3, –4, 5), 7
d) (6, –8, 10), 7
24) The modulus and amplitude of the complex number 
are respectively ………
a) 
b) 
c) 
d) 
25) The modulus of the complex number 
is ……….
a) 
b) 
c) 
d) 
26) If Z represents a complex number, then +arg(\overline{z}))
is …………
a) 
b) 
c) 0
d) 
27) The polar form of the complex number ^3 )
is …………….
a) 
b) 
c) 
d) 
28) 
= …………….
a) 
b) 
c) 
d) 
29) If 
, the value of 
is …………
a) 
b) 
c) 
d) 
30) The value of 
is ……..
a) i
b) –i
c) 1
d) –1
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