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

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

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

• 1 A
• 2 B
• 3 C
• 4 D

x² + y² = 4 is:

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

• 0 A
• 2 B
• 1 C
• 3 D

Inverse hyperbolic functions are expressed in terms of natural:

• Numbers A
• Exponential B
• Logarithms C
• Sines 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

cosh^-1x =

• 
  A
• 
  B
• 
  C
• 
  D

• Parabola A
• Hyperbola B
• Ellipse C
• Circle 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

• Constant A
• Implicit B
• Identity C
• Inverse 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

• 4 A
• Does not exist B
• 
  C
• 
  D

A function, in which the variables are __________ numbers, then function is called a real valued function of real numbers.

• Complex A
• Rational B
• Real C
• None of these D

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

• -1 A
• 0 B
• 1 C
• 
  D

f(x) = sin x + cos x is ------------ function:

• Even A
• Odd B
• Composite C
• Neither even nor odd function 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

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

A function, in which the variable appears as exponent (power), is called a / an -------- function.

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

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

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