Second Year Mathematics Chapter 1 Online MCQ Test Functions and Limits Preparation

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

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

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

The term function was introduced by:

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

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

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

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

Let f(x) = cos x, then f(x) is an:

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

Cosh² x + Sinh² x =

• Cosh x² A
• Cosh 2x B
• Sinh 2x C
• Tanh 2x 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

Cosh² x - Sinh² x =

• 1 A
• -1 B
• 2 C
• -2 D

• 1 A
• 2 B
• 3 C
• 4 D

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

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

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

• -1 A
• 0 B
• 1 C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

The function y = ln x is a/an -------------- function of x.

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

The range of the function f(x) = |x|

• 
  A
• 
  B
• 
  C
• 
  D

Every relation, which can be represented by a linear equation in two variables, represents a:

• Graph A
• Function B
• Cartesian product C
• Relation D

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

Which one is not an exponential function ?

• 
  A
• 
  B
• 
  C
• 
  D

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

cosh^-1x =

• 
  A
• 
  B
• 
  C
• 
  D