# HSC +2 Maths Important Questions AA4 - Part 2

You are viewing part 2 of the collection of 40 questions in +2 Maths subject. (objective type, one mark questions). Go through the questions from 9-16 and post your answers to these questions. You may wish to refer to the related post section at the bottom of this post, to view other parts of this series. These questions are carefully prepared after studying the complete examination syllabus and provided to your for your practice. Students should read the lessons and chapters well before attempting these questions and should treat these questions as a sample only.
Questions from 9-16 of 40 - AA4 Series
9) If a = 3 +i  and z = 2 – 3i, then the points on the Argand diagram representing az, 3az and –az are:

a) Vertices of a right angled triangle             b) Vertices of an equilateral triangle

c) Vertices of an isosceles triangle               d) Collinear

10) The quadriatic equation whose roots are $\pm i\sqrt7$ is:

a) $x^{2}+7=0$                    b) $x^{2}-7=0$

c) $x^{2}+x+7=0$                 d) $x^{2}-x-7=0$

11) If $\omega$ is the cube root of unity, then the value of

$(1-\omega)(1-\omega^{2})(1-\omega^{4})(1-\omega^{8})$ is:

a) 9           b) -9           c) 16           d) 32

12) The line $2x+3y+9=0$ touches the parabola $y^{2}=8x$ at the point:

a) (0, –3)        b) (2, 4)        c) $(-6, \frac{9}{2})$

d) c) $(\frac{9}{2}, -6)$

13) The eccentricity of the conic $9x^{2}+5y^{2}-54x-40y+116=0$ is:

a) $\frac{1}{3}$           b) $\frac{2}{3}$

c) $\frac{4}{9}$           d) $\frac{2}{\sqrt5}$

14) The sum of the distance of any point on the ellipse $4x^{2}+9y^{2}=36$ from

$(\sqrt5, 0)$ and $(-\sqrt5, 0)$ is:

a) 4           b) 8           c) 6           d) 18

15) The axis of the parabola is $y^{2}-2y+8x-23=0$ is:

a) y=-1           b) x=-3           c) x=3           d) y=1

16) If $B$ and $B^{‘}$ are the ends of the minor axis, $F_{1}$

and $F_{2}$ are the foci of the ellipse $\frac{x^2}{8}+\frac{y^2}{4}=1$

then the area of the rhombus $F_{1}BF_{2}B^{‘}$ is:

a) 16          b) 8          c) $16\sqrt2$          d) $32\sqrt2$