ICS Part 2 Mathematics Full Book Test Online

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

• 1 A
• 2 B
• 0 C
• None of these D

The Maclaurin series expansion is valid only if it is:

• Convergent A
• Divergent B
• Increasing C
• Decreasing 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

Infinite number of lines can pass through:

• One point A
• Two points B
• Three points C
• Four points D

ax + b < c is a inequality of:

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

The equation of the latus-rectum of the parabola y² = 4ax is:

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

(1, 0) is the solution of inequality :

• 7x + 2y < 8 A
• x - 3y < 0 B
• 3x + 5y > 6 C
• -3x + 5y > 2 D

The conic is an ellipse, if:

• e = 1 A
• e > 1 B
• 0 < e < 1 C
• e = 0 D

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

The system of _________ involved in the problem concerned is called problem constraints:

• Linear inequalities A
• Equations B
• Linear equalities C
• None of these D

The opening of the parabola y² = -4ax is to the left of the:

• x-axis A
• x = 1 B
• y-axis C
• x = 0 D

• Parallel lines A
• Non-parallel lines B
• Perpendicular lines C
• Coplanar lines D

• x = a A
• x = 2 B
• x = 0 C
• None D

• 1 A
• 2 B
• 3 C
• 0 D

An angle in a semi-circle is:

• 0° A
• 90° B
• 180° C
• 60° D

• integration by parts A
• definite integral B
• Differentation C
• None of these D

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

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

• 
  A
• 
  B
• 
  C
• 2 D

The point (5, 8) lies the line 2x - 3y + 6 = 0

• Above A
• Below B
• On C
• None D

If x and y are so mixed up and y cannot be expressed in terms of the independent variable x, then y is called a/an ---- function of x.

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