12th Class FSc part 2 Mathematics Online Test

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

• 
  A
• 
  B
• 
  C
• 
  D

ax + b < c is a inequality of:

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

The focus of the parabola x² = 4ay:

• (0, a) A
• (-a , 0) B
• (0, -a) C
• (a, 0) D

Equation of axis of the parabola x² = 4ay is:

• x = 0 A
• x = a B
• y = 0 C
• y = a D

• Parabola A
• Hyperbola B
• Ellipse C
• Circle D

• sech x tanh x A
• -sech x tanhx B
• sech² x C
• -sech²x D

If a straight line is perpendicular to x-axis, then its slope is:

• 0 A
• 1 B
• 2 C
• Undefined D

• 4a A
• 2a B
• 4b C
• 2b D

If r is the radius of any circle and C its center, then any point P(x₁, y₁) lies on the circle only if:

• |CP| < r A
• |CP| > r B
• |CP| = r C
• None of these D

• 5 sin x A
• cosh (5x) B
• 5 cosh (5x) C
• -5 cosh (5x) D

• 
  A
• 
  B
• 
  C
• 
  D

One of the angles of a triangle inscribed in a circle is of 40°. If one of its' the diameter, the other angles have the measures:

• 30°, 110° A
• 40°, 100° B
• 50°, 90° C
• 20°, 120° D

Which one is an exponential function ?

• 
  A
• 
  B
• 
  C
• 
  D

• x = a A
• for all x B
• 
  C
• x = 0 D

Distance of the point (-3, 7) from x-axis is:

• 3 A
• -3 B
• 7 C
• 10 D

The opening of the parabola x² = 4ay is upward of the:

• x -axis A
• y = c B
• y - axis C
• x = y 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

If the radius of a circle is zero, then the circle is called a / an:

• Circle A
• Circular cone B
• Ellipse C
• Point circle D

Let f(x) = x², real valued function then domain of f is the set of all:

• Real numbers A
• Integers B
• Positive numbers C
• Natural numbers D