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

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

x² + y² = 4 is:

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

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

• -1 A
• 0 B
• 1 C
• 
  D

Which one is an exponential function ?

• 
  A
• 
  B
• 
  C
• 
  D

Cosh² x - Sinh² x =

• 1 A
• -1 B
• 2 C
• -2 D

• Even A
• Odd B
• One-one C
• Zero 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

• 4, -4 A
• 0 B
• 2, -2 C
• 0, 4 D

• 
  A
• 
  B
• 
  C
• 
  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

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

A function P(x) = 6x⁴ + 7x³ + 5x + 1 is called a polynomial function of degree -------- with leading coefficient -------.

• 4, 6 A
• 2, 7 B
• 2, 3 C
• 2, 5 D

Let f(x) = x², real valued function then domain of f is the set of all:

• Real numbers A
• Integers B
• Positive numbers C
• Natural numbers 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

Cosh² x + Sinh² x =

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

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

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