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

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

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

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

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

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

• -1 A
• 0 B
• 1 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

The term function was introduced by:

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

• 0 A
• 1 B
• e C
• Does not exist D

Which one is a constant function ?

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

Let f(x) = cos x, then f(x) is an:

• Even function A
• Odd function B
• Power function 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

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

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

x² + y² = 4 is:

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

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

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

• 
  A
• 
  B
• 
  C
• 
  D

• Implicit A
• Explicit B
• Exponential C
• Logarithmic 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

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