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

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

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

Parametric equations x = a cos t, y = a sin t represent the equation of:

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

Which one is an identity function ?

• 
  A
• f(x) = g(x) B
• f (x) = x C
• f(x) = 1 D

If f(x) = |x|, f(x) is a:

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

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

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

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

• Even A
• Odd B
• One-one C
• Zero D

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

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

• Common logarithmic A
• Natural logarthmic B
• Exponential 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

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

• Implicit A
• Explicit B
• Exponential C
• Logarithmic 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

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

The term function was introduced by:

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

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

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

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

Cosh² x - Sinh² x =

• 1 A
• -1 B
• 2 C
• -2 D

• 0 A
• 2 B
• 1 C
• 3 D