HSC Maths Sample Question Paper- Part 2 - AA2

Final part of the Question Paper set AA2 on StateBoard/ HSC Mathematics. You may wish to refer to Part 1 of the Question Paper Series before attempting this part. Again, if you know the answers, share it

21) The complex number form of    is:

a)                                 b)   

c)                                            d)   

22) Real and imaginary parts of    are:

a)                           b)   

c) 2, 3                                                          d) 3,2

23) The standard form (a+ ib) of 3+2i+(-7-i) is:

a) 4-i                  b) -4+i                  c) 4+i                  d) 4+4i

24) The modulus values of -2+2i and 2-3i are:

a)                            b)   

c) 2\sqrt{2}, \;\sqrt{13}                              d) –4, 1

25) The cube roots of unit are:

a) In G.P. with common ratio   

b) In G.P. with common difference   

c) In A.P. with common difference   

d) In A.P. with common difference   

26) Which of the following statements is correct?

a) Negative complex numbers exist                             b) order relation does not exist in real numbers

c) order relation exist in complex numbers                  d) (1+i) > (3-2i) is meaningless

27) The value of    is:

a)                     b)                     c)                     d)   

28) If    then the locus of z is:

a) A circle with centre at the origin                             b) A circle with centre at   

c) A straight line passing through the origin                d) Is a perpendicular bisector of the line joining    and    

29) The axis of the parabola    is:

a) x=0           b) y=9           c) x=1           d) y=1

30) The equation of the latus rectum of    is:

a) x=1           b) y=1           c) x=4           d) y=-1

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

a) x=3, y=2                b) x=-3, y=-2                c) x=0, y=0                d) y=0, x=0

32) The equations of the minor and major axes of    are:

a) 6, 4                b) 3, 2                c) 4,6                d) 2, 3

33) The equation of the latus rectum of    are:

a)                                         b)   

c)                                                  d)   

34) The eccentricity of the ellipse    is:

a)                                               b)                       

c)                                               d)   

35) The equation of the tangent at (-3, 1) to the parabola    is:

a) 3x-2y-3=0                  b) 2x-3y+3=0                   c) 2x+3y+3=0                  d) 3x+2y+3=0

36) The equations of the directrices of the hyperbola    are:

a)                                  b)   

c)                                  d)   

37) The vertices of the hyperbola    are:

a)           b)           c)           d)   

38) The equation of chord of contact of tangents from (2, 4) to the ellipse    is:

a) x-5y+5=0            b) 5x-y+5=0            c) x+5y-5=0            d) 5x-y-5=0

39) Find the angle between the asymptotes of the hyperbola    is:

a)                               b)    or   

c)                             d)    

40) The point of contact of the tangent y=mx+c and the hyperbola    is:

a)                                       b)   

c)                                     d)