ICS Part 2 Mathematics Chapter 1 Test Online

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

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

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

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

Which one is an exponential function ?

• 
  A
• 
  B
• 
  C
• 
  D

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

Cosh² x + Sinh² x =

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

Which one is not an exponential function ?

• 
  A
• 
  B
• 
  C
• 
  D

Which one is an identity function ?

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

• Undefined A
• 3a² B
• a² C
• 0 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

Which one is a constant function ?

• f(x) = x² A
• f(x) = x B
• f(x) = x + 1 C
• f(x) = 14 D

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

• Constant A
• Explicit B
• Exponential C
• Logarithmic 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, -4 A
• 0 B
• 2, -2 C
• 0, 4 D

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

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