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

• Undefined A
• 3a² B
• a² C
• 0 D

If the degree of a polynomial function is ------------, then it is called a linear function:

• 0 A
• 1 B
• 2 C
• 3 D

• 0 A
• 1 B
• e C
• Does not exist D

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

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

Which one is an exponential function ?

• 
  A
• 
  B
• 
  C
• 
  D

• 4, -4 A
• 0 B
• 2, -2 C
• 0, 4 D

Cosh² x + Sinh² x =

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

• Parabola A
• Hyperbola B
• Ellipse C
• Circle 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

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

Let f(x) = x², then range of f is the set of all:

• Real numbers A
• Non-negative real numbers B
• Non-negative integers C
• Complex numbers D

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

• 
  A
• 
  B
• 
  C
• 
  D

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

• -1 A
• 0 B
• 1 C
• 
  D

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

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

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

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

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