12th Class FSc part 2 Mathematics Online Test

• 1 A
• 0 B
• 
  C
• 
  D

The line x = a is on the right of y - axis if:

• a > 0 A
• a < 0 B
• a = 0 C
• 
  D

• ln |sin x| A
• - ln |sin x| B
• ln |cos x| C
• -ln |cos x| 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

x = c is a vertical line parallel to __________.

• x-axis A
• y-axis may be B
• y-axis C
• None of these D

• 
  A
• 0 B
• 4 C
• 7 D

• 4 A
• 2 B
• 1 C
• 
  D

• domain A
• range B
• lower limit C
• upper limit D

A null vector is defined as a vector whose magnitude is:

• 1 A
• 2 B
• 0 C
• None of these D

If a function f is from a set X to a set Y, then set X is called the _______ of f:

• Domain A
• Range B
• Co-domain C
• None of these D

The graph of linear equation of the form ax + by = c is a _________ where a, b and c are constants and a, b are not both zero.

• Curve A
• Circle B
• Straight line C
• Parabola D

f(x) = sin x + cos x is ------------ function:

• Even A
• Odd B
• Composite C
• Neither even nor odd function D

• 
  A
• 
  B
• 
  C
• 
  D

• sin x A
• cos x B
• -sin x C
• -cos x D

• sec x tan x A
• sec²x B
• -sec x tan x C
• -sec²x D

The feasible solution, which maximizes or minimizes the objective function, is called the _________:

• Maximum solution A
• Optimal solution B
• Minimum solutions C
• None of these D

The ratio in which y-axis divides the line joining (2, -3) and (-5, 6) is:

• 2 : 3 A
• 2 : 5 B
• 1 : 2 C
• 3 : 5 D

If the lower limit is a constant and the upper limit is a variable, then the integral is a function of:

• x A
• y B
• lower limit C
• upper limit D

A line that touches the curve without cutting through it is called:

• Straight line A
• Tangent line B
• Normal line C
• Vertical line D

The number e denotes the _________ of the conic:

• Directrix A
• Vertex B
• Focus C
• Eccentricity D