2nd Year Mathematics Chapter 1 Online MCQ Test for 12th Class Mathematics Unit 1 (Functions and Limits)

• 0 A
• 1 B
• e C
• Does not exist 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

• Even A
• Odd B
• One-one C
• Zero D

Let f(x) = x³ + sin x, then f(x) is:

• Even function A
• Odd function B
• Power function C
• None of these 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

x² + y² = 4 is:

• Function A
• Not a function B
• Ellipse C
• Line D

If y = (x), then the variable x is called --------- variable of a function f.

• Dependent A
• Independent B
• Image of y C
• None of these D

x = 3 cos t, y = 3 sin t represent

• Line A
• Circle B
• Parabola C
• Hyperbola D

The symbol y = f(x) i.e. y is equal to f of x, invented by Swiss mathematician-----------:

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

If y is an image of x under the function f, we denote it by:

• x = f(y) A
• x = y B
• y = f(x) C
• f(x, y) = c D

The area A of a circle as a function of its circumference C is:

• 
  A
• 
  B
• 
  C
• 
  D

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

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

• Constant function A
• Absolute linear function B
• Linear function C
• Quadratic function D

• 1 A
• 2 B
• 3 C
• 4 D

f(x) is odd function. If and only if:

• f(-x) = -f(x) A
• f(-x) = f(x) B
• f(x) = 3f(-x) C
• f(x) = -3f(-x) D

• Continuous at x = 1 A
• Not continuous at x = 1 B
• Both a and b C
• none 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

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

• -1 A
• 0 B
• 1 C
• 
  D

• 0 A
• 2 B
• 1 C
• 3 D