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

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

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

Point of intersection of lines x - 2y + 1 = 0 and 2x - y + 2 = 0 equals:

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

Equation of a line parallel to x-axis:

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

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

• Above A
• Below B
• On C
• None D

• R A
• R - {2} B
• R - {2, -2} C
• R - {-2} D

• e^2x sin x + c A
• e^2xcosx + c B
• -e^2xsin x + c C
• -e^2xcosx + c D

Which of the following is a vector quantity ?

• Work A
• Temperature B
• Distance C
• Displacement D

Point p (-5, 6) lies ............ the circle x² + y² + 4x - 6y - 12 = 0

• Outside A
• Inside B
• On C
• None of these D

• c A
• 0 B
• 1 C
• -c D

• 
  A
• 
  B
• 
  C
• 
  D

Notation Df(x) for derivative was used by:

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

The term dy (or df) = f '(x) dx is called the __________ of the dependent variable y.

• Differentiation A
• Integration B
• Differential C
• None of these D

The axis of the parabola y² = 4ax is:

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

• Integration A
• Integrand B
• Constant of integration C
• None of these D

Inclination of X-axis or of any line parallel to X-axis is:

• Zero A
• 
  B
• 
  C
• Undefined D

Point of intersection of x + y = 5 & x - y = 3 is:

• (5, 5) A
• (4, 2) B
• (4, 1) C
• (1, 4) D

• Integration by parts A
• Definite integral B
• Differentiation C
• None of these D

If the graph of f is entirely above the x-axis, then the definite integral is _______:

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

The center of circle x² + y² + 2gx + 2fy + c = 0 is:

• (-g, -f) A
• (-f, -g) B
• (0, 0) C
• (g, f) D

y-coordinate of any point on X-axis:

• 0 A
• x B
• y C
• 1 D