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

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

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

• Integration A
• Integration w.r.t.x. B
• Differentiation C
• Differentiation w.r.t.x D

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

• 1 A
• 2 B
• 0 C
• None of these D

Joint equation of y + 2x = 0, y - 3x = 0 is:

• (y+2x)(y-3x) = 0 A
• (y-2x)(y-3x) = 0 B
• (y+2x)(y+3x) = 0 C
• (y-2x)(y+3x) = 0 D

If a = 0, then the line ax + by + c = 0 is parallel to:

• y - axis A
• x - axis B
• along y - axis C
• None of these D

The order (or sense) of an inequality is changed by ________, it each side by a negative constant.

• Adding A
• Subtracting B
• Dividing C
• None of these D

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

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

• Derivative A
• Differential B
• Integral C
• None of these D

The feasible region is ________ if it can easily by enclosed within a circle.

• Bounded A
• Exist B
• Unbounded C
• None of these D

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

• sin x A
• cos x B
• sinh x C
• cosh x 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

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 s is the distance traveled by a body at time t, the velocity is given by the expression:

• 
  A
• 
  B
• 
  C
• 
  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 the line segment obtained by joining any two points of a region lies entirely within the region, then the region is called _________:

• Maximum A
• Vertex B
• Minimum C
• Convex D

The conic is a parabola, if:

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

• sec x tan x A
• - sec²x B
• -sec x tan x C
• sec²x D

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

The focus of the parabola y²=4ax is:

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