HSC +2 Maths One Mark Questions Part 2 - AA3

Part 2 and final part of the AA3 question collection set for HSC +2 Mathematics. Part 1 of the Question Paper Set contained questions from 1-20. In this set, we provide the questions from 21-40.

21) Real and imaginary parts of    are:

a)             b)             c)             d)   

22) If a+ib = (8-6i)-(2i-7) then the values of a and b are:

a) 8, –15                     b) 8, 15                     c) 15, 9                     d) 15, –8

23) Which of the following are correct?    (i)               (ii)               (iii)               (iv)   

a) (i), (ii)                b) (ii), (iii)                c) (ii), (iii), and (iv)                d) (i), (iii) and (iv)

24) The principal value of arg z lies in the interval:

a)         b)         c)         d)   

25) The fourth roots of unity form the vertices of:

a) an equilateral triangle         b) a square         c) a hexagon         d) a rectangle

26) The value of    is:

a)         b)         c)         d)   

27) Identify the correct statement:

a) Sum of moduli of two complex numbers is equal to their modulus of the sum

b) Modulus of the product of the complex numbers is equal to sum of their moduli

c) Arguments of the product of two complex numbers is the product of their arguments

d) Argument of the product of two complex numbers is equal to sum of their arguments

28) If    and    are complex numbers then which of the following is meaningful?

a)            b)            c)            d) z_{1} \neq  z_{2}

29) The vertex of the parabola    is:         a) (0, 1)        b) (0, –1)        c) (1, 0)        d) (0, 0)

30) The equation of the L.R. of    is:        a) x=-1          b) y=-1          c) x=1          d) y=1

31) The length of the major and minor axes of    are:

a)         b)         c)         d)   

32) The length of the L.R. of    are:

a)           b)           c)           d)   

33) If the centre of the ellipse is (4, –2) and one of the foci is (4, 2), then the other focus is:

a) (4, 6)          b) (6, –4)          c) (4, –6)          d) (6,4)

34) The eccentricity of the hyperbola    is:

a)      b)      c)      d)   

35) The equations of transverse and conjugate axes of the hyperbola    are:

a) x=2; y=3            b) y=0; x=0            c) x=3; y=2            d) x=0; y=0

36) The point of contact of the tangent y=mx+c and the parabola    is:

a)                     b)   

c)                     d)   

37) If    are the extremities of any focal chord of a parabola    then    is:

a) –1                    b) 0                    c)                       d)   

38) The condition that the line lx+my+n=0 may be a normal to the hyperbola    is:

a)                         b)   

c)   

d)   

39) The chord of contact of tangents from any point on the directrix of the parabola    passes through its:

a) vertex                b) focus                c) directrix                d) latus rectum

40) The locus of the point of intersection of perpendicular tangents to the parabola    is:

a) latus rectum            b) directrix            c) tangent at the vertex            d) axis of the parabola