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

The focus of the parabola y²=4ax is:

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

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

The law of parallelogram of addition was used by Aristotle to describe the combined action of :

• One force A
• Two forces B
• Three forces C
• Four forces D

Two vectors are equal if they:

• Pass through the same point A
• Are parallel to each other B
• Are parallel to each other and have same direction C
• Have equal magnitude and have same direction D

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

The number e denotes the _________ of the conic:

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

Zero vector is perpendicular to:

• Every vector A
• Unit vector only B
• Position vector only C
• Not any vector D

For a square of side x units, the rate of change of area with respect to the side is given by:

• x A
• x² B
• 2x C
• 2 D

If a function f is from a set X to a set Y, then set X is called the _______ of f:

• Domain A
• Range B
• Co-domain C
• None of these D

Distance of the point (-2, 3) from y-axis is:

• -2 A
• 2 B
• 3 C
• 1 D

• Lagrange A
• Newtown B
• Leibniz C
• Cauchy D

The point where the axis meets the parabola is called ________ of the parabola:

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

The line x = a is on the right of y - axis if:

• a > 0 A
• a < 0 B
• a = 0 C
• 
  D

Which are the following triples can be direction angles of a single vector:

• 45°,45°,60° A
• 30°,45°,60° B
• 45°,60°,60° C
• 30°,30°,30° D

In the translation of axes which formula is true:

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

• Common logarithmic A
• Natural logarthmic B
• Exponential C
• None of these 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

The equation x² + y² + 2x + 3y = 10 represents a:

• A pair of lines A
• Circle B
• Ellipse C
• Hyperbola D

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