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

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

• 1 A
• 2 B
• 3 C
• 4 D

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

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

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

• 4, -4 A
• 0 B
• 2, -2 C
• 0, 4 D

The term function was introduced by:

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

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

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

The area A of a circle as a function of its circumference C is:

• 
  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

cosh^-1x =

• 
  A
• 
  B
• 
  C
• 
  D

• 0 A
• 1 B
• e C
• Does not exist D

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

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

• 0 A
• 2 B
• 1 C
• 3 D

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

• Constant A
• Explicit B
• Exponential C
• Inverse 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

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

Which one is a constant function ?

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

x² + y² = 4 is:

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