HSC Maths - Important Questions - Collection

Back again, this time with a dozen new one mark questions (12th / all boards) compiled from a random pool of sample questions for Mathematics. Questions are generic enough to be applied across all boards and will give a good practice to prospective students. If you know the answers to any of these questions, have a go and let us see if you are right..or not..

1) If the points and are collinear, then the value of is:

a) 1

b) 2

c) –2

d) 0



2) If the planes and are perpendicular, then the value of is:

a) 3/5

b) 5/3

c) 3

d) 5



3) If and are vectors of magnitude , then the magnitude of is:

a)

b)

c)

d) 1



4) If a line makes 45 degree, 60 degree with positive direction of X and Y axes then the angle it makes with the Z-axis is:

a) 30 degree

b) 90 degree

c) 45 degree

d) 60 degree



5) If the magnitude of moment about the point of a force acting through the point is , then the value of ‘a’ is:

a) 1

b) 2

c) 3

d) 4



6) The workdone by the force acting on a particle, if the particle is displaced from A(3, 3, 3) to the point B(4, 4, 4) is:

a) 2 units

b) 3 units

c) 4 units

d) 7 units



7) If the straight line and are perpendicular, then:

a)

b)

c)

d)



8) If and are two unit vectors at right angles, then :

a) 2

b) >2

c)

d)



9) The condition of the line and the plane to be parallel is:

a)

b)

c)

d)



10) The angle between the planes 2x – y + 2Z = 1 and x – y = 2 is:

a)

b)

c)

d)



11) The angle between the vector and the X-axis is:

a)

b)

c)

d)



12) The value of is:

a)

b)

c)

s)