12th Class Mathematics MCQ Test With Answer for Mathematics Full Book

The point (2, 5) lies the lie 3x - y + 1 = 0

• Above A
• Below B
• On C
• None D

• sinh x A
• cosh x B
• -sinh x C
• -cosh x D

• f(x) A
• ln |f(x)| B
• f'(x) C
• ln |f'(x)| D

x = 4 is a line:

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

ax + b > c is an inequality of:

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

Which one is an exponential function ?

• 
  A
• 
  B
• 
  C
• 
  D

The axis of the parabola y² = -4ax is:

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

f (x) = x secx, then f(0)=

• -1 A
• 0 B
• 1 C
• 
  D

A chord passing through the focus of a parabola is called a ________ of the parabola:

• Directrix A
• Latus rectum B
• Focus C
• Focal chord D

The vertex of the parabola x² = 4ay is:

• (-a, 0) A
• (0, a) B
• (0, -a) C
• (0, 0) 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 graph of f is entirely below the x-axis, then the definite integral is:

• Positive A
• Positive or negative B
• Negative C
• Positive and negative D

Two arcs of two different circles are congruent if:

• The circles are congruent A
• The corresponding central angles are congruent B
• Both a and b C
• None of the above D

• 4 A
• 2 B
• 1 C
• 
  D

Non-vertical lines divide the plane into___________half plane:

• Upper and lower A
• Many B
• Left and Right C
• None of these 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

Gottfried Whilhelm Leibniz was a (an) ----- mathematician:

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

The line y = c is above the x - axis, if:

• c > 0 A
• c < 0 B
• c = 0 C
• 
  D

The point of a parabola which is closest to the focus in the:

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