+2 Mathematics - Sample Model Questions - HSC

Practice questions 17-24 are provided in this section. Refer here for questions 1-8 and 9-16. Prepare the questions well and send your answers through the comments section of this post..

17) If the point of intersection of the tangents at and to the parabola is:

a)

b)

c)

d)



18) The straight line 2x-y+c = 0 is a tangent to the ellipse , if c is:

a)

b)

c) 36

d)



19) The angle between the curves and is:

a)

b)

c)

d)



20) The least possible perimeter of a rectangle of area is:

a) 10

b) 20

c) 40

d) 60



21) The curve has a point of inflexion at x = 1, then

a) 3a+b = 0

b) 3a+b = 1

c) a+b = 0

d) a+3b = 0



22) If , the velocity when the acceleration is zero is:

a)

b)

c)

d)



23) If u = y sinx, then

a) cos x

b) cos y

c) sin x

d) 0



24) The curve has

a) one loop between x = 0 and x = a

b) two loops between x = 0 and x = a

c) two loops between x = –a and x = a

d) no loop