12th Class FSc part 2 Mathematics Online Test

The radius of circle x² + y² + 2gx + 2fy + c = 0 is:

• 
  A
• 
  B
• 
  C
• 
  D

• Free vector A
• Unit vector B
• Null vector C
• None of these D

• Open A
• Closed B
• Open as well as closed C
• None of these D

• R A
• R - {2} B
• R - {2, -2} C
• R - {-2} D

If a variable y depends on a variable x in such a way that each value of x determines exactly one value of y, then y is a __________ of x.

• Independent variable A
• Not function B
• Function C
• None of these D

cosh^-1x =

• 
  A
• 
  B
• 
  C
• 
  D

The fixed point of the conic is called:

• Directrix A
• Vertex B
• Focus C
• None of these D

A function, in which the variable appears as exponent (power), is called a / an -------- function.

• Constant A
• Explicit B
• Exponential C
• Inverse D

If the equation of the parabola is y2 = 4ax, then opening of the parabola is to the right of the:

• x-axis A
• y = x B
• y-axis C
• x + y =0 D

• One variable A
• Three variable B
• Two variable C
• Four variable D

In the translation of axes which formula is true:

• x = X + h A
• X = x + h B
• x + X = h C
• None D

x = c is a line:

• Perpendicular to x-axis A
• Parallel to x-axis B
• Perpendicular to y-axis C
• None of these D

• Line A
• Parabola B
• Ellipse C
• Hybperbola D

• Above A
• Left B
• Below C
• Right D

• Parallel lines A
• Perpendicular lines B
• Non-parallel lines C
• None of these D

An angle in a semi-circle is:

• 0° A
• 90° B
• 180° C
• 60° D

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

• 0 A
• 2 B
• 1 C
• 4 D

• Integral A
• Indefinite integral B
• Differential C
• Definite integral D

The directrix of the parabola x² = -4ay is:

• x = a A
• x = -a B
• y = a C
• y = -a D

The parabola y² = 4ax lies in quadrants:

• I and II A
• III and IV B
• II and III C
• I and IV D