FA Part 2 Mathematics Full Book Test Online

y = -2 is a line:

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

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

• 0 A
• 
  B
• 
  C
• 
  D

Infinite number of lines can pass through:

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

• f(x² + 1) A
• f(x) B
• 
  C
• f(x²) D

The function y = ln x is a/an -------------- function of x.

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

If y = sin x then dy =

• cosy dx A
• cos x B
• cosx dx C
• cos xdy D

The derivative of x with respect to y is given by:

• 
  A
• 
  B
• 
  C
• 
  D

The centroid of a triangle is a point that divides each median in the ratio:

• 2 : 1 A
• 2 : 3 B
• 1 : 3 C
• 4 : 3 D

The centroid of the triangle whose vertices are (3, -5), (-7, 4) and (10, -2) is:

• (-2, -2) A
• (-2, 2) B
• (2, -1) C
• (0, 0 ) D

If equation of circle is (x - h)² + (y - k)² = r², then center of a circle:

• (-h, -k) A
• (h, k) B
• (-h, k) C
• (h, -k) D

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

The function f(x) = 3x² has minimum value at :

• x = 3 A
• x = 2 B
• x = 1 C
• x = 0 D

If y = x² + 1 _______________ x changes from 3 to 3.02 then dy = __________

• 0.1204 A
• .12 B
• .02 C
• 1.2 D

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

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

Sir Isaac Newton was a(an) --------- mathematician.

• German A
• French B
• Swiss C
• English D

The term function was introduced by:

• Euler A
• Newton B
• Lagrange C
• Leibniz D

The graph of the parabola y² = -4ax is symmetric about:

• x-axis A
• major axis B
• y-axis C
• minor axis D

Perpendicular dropped from the center of a circle on a chord _______ the chord:

• Normal A
• Bisects B
• Equal to 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