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

The center of circle (x+3)² + (y-2)² = 16 equals:

• (-3, 2) A
• (3, -2) B
• (3, 2) C
• (-3, -2) D

Let f(x) = x² + 3, then domain of f is:

• Set of all integers A
• Set of natural numbers B
• Set of real numbers C
• Set of rational numbers D

If (x, y) are the coordinates of a point, then the first component of the ordered pair is called:

• Abscissa A
• Ordinate B
• Coordinate axes C
• None of these D

The ratio in which the line segments joining (2, 3) and (4, 1) is divided by the line joining (1, 3) and (4, 3) is:

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

A line that touches the curve without cutting through it is called:

• Straight line A
• Tangent line B
• Normal line C
• Vertical line D

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

• Above A
• Below B
• On C
• None D

• a cosec (ax + b) A
• 
  B
• 
  C
• cot (ax + b) D

If a straight line is perpendicular to y-axis, then its slope is:

• 1 A
• -1 B
• 0 C
• undefined D

If the directed distances AP and PB have same signs, then their ratio is positive and P is said to divide AB:

• Internally A
• May be divide B
• Externally C
• None of these D

• 
  A
• 
  B
• 
  C
• 
  D

A line segment having both the end-points on a circle and not passing through the center is called a:

• A chord A
• A secant B
• A diameter C
• None of these D

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

-4 < y < 4 is the solution of the following:

• y = 5 A
• y = 3 B
• y = -4 C
• y = 4 D

• Position vector of O A
• Position vector of P B
• Unit vector C
• Null vector D

A line perpendicular to a radial chord of a circle at the end-point (which lies on the circle) is a:

• Secant A
• Diameter B
• Chord C
• Tangent D

• - cosec² x A
• cosec²x B
• - cosec x cot x C
• cosec x cot x D

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

• 
  A
• 
  B
• 
  C
• 
  D

• integration by parts A
• definite integral B
• Differentation 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