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

• Even A
• Odd B
• One-one C
• Zero 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

The term function was introduced by:

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

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

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

• 4, -4 A
• 0 B
• 2, -2 C
• 0, 4 D

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

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

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

• 0 A
• 2 B
• 1 C
• 3 D

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

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

tanh x =

• 
  A
• 
  B
• 
  C
• 
  D

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

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

Cosh² x + Sinh² x =

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

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

• Constant A
• Explicit B
• Exponential C
• Logarithmic 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

• 1 A
• 2 B
• 3 C
• 4 D

Which one is an exponential function ?

• 
  A
• 
  B
• 
  C
• 
  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

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