FSC Part 2 Mathematics Full Book Online Test

• - cosec² x A
• cosec²x B
• - cosec x cot x C
• cosec x cot x D

• 0 A
• 2 B
• 1 C
• -1 D

The ratio between the measure of the radial segment and the diameter of a circle is:

• 2 : 1 A
• 4 : 3 B
• 1 : 2 C
• 
  D

The general solution of differential equation of order n contains n arbitrary constants, which can be determined by ------------ initial value conditions.

• 1 A
• 0 B
• 2 C
• n D

If y = (x), then the variable x is called --------- variable of a function f.

• Dependent A
• Independent B
• Image of y C
• None of these D

Two imaginary tangents can be drawn to a circle from any point P(x₁, y₁) _______ the circle:

• Inside A
• On B
• Outside C
• None of these D

• Position vector of O A
• Position vector of P B
• Unit vector C
• Null vector D

If the cutting plane is parallel to the axis of the cone and intersects both of its nappes, then the section a / an:

• Parabola A
• Hyperbola B
• Ellipse C
• None of these D

• 
  A
• 
  B
• 
  C
• 
  D

If the focus lies on the y - axis with coordinates F(0, a) and directrix of the parabola is y = -a, then the equation of parabola is:

• x² = 4ay A
• -x²= 4ay B
• -y²= 4ax C
• y²= 4ax D

x = 4 is the solution of inequality:

• x + 3 > 0 A
• x - 3 < 0 B
• -2x + 3 > 0 C
• x + 3 < 0 D

i.(j.k) =

• Meaningless A
• -1 B
• 1 C
• 2 D

• 0 A
• 1 B
• -1 C
• 2 D

• Even A
• Odd B
• One-one C
• Zero D

An angle in a semi-circle is:

• 0° A
• 90° B
• 180° C
• 60° D

A line which divides a plane into two parts is called:

• Boundary point A
• Boundary line B
• Feasible line C
• None D

Cosh² x - Sinh² x =

• 1 A
• -1 B
• 2 C
• -2 D

• Line parallel to x-axis A
• Line parallel to y-axis B
• Line passing through the origin C
• Both (a) and (b) D

Two arcs of two different circles are congruent if:

• The circles are congruent A
• The corresponding central angles are congruent B
• Both a and b C
• None of the above D

Non-vertical lines divide the plane into___________half plane:

• Upper and lower A
• Many B
• Left and Right C
• None of these D