FSc 2 Maths | Functions and Limits | MCQs – Quiz-1

 

FSc. ICS Part-II | 2nd Year Mathematics, Chapter No.1: Functions & Limits MCQs | Online Quiz. Questions of this quiz are important for the final examination, ECAT, and all entry tests for all universities.

 

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FSc-ICS Part-II | Mathematics| Chapter No.1: Functions & Limits | Quiz-1

 

1. If y is expressed in terms of a variable “x” as y=f(x), called _____ function:
   1.   Implicit
   2.   Explicit
   3.   Linear
   4.   None
2. \(x=at^{2}\), y=2at represents ______:
   1.   Circle
   2.   Ellipse
   3.   Parabola
   4.   Hyperbola
3. If f: \(X\rightarrow Y\), then Y is called _____:
   1.   Domain
   2.   Range
   3.   Co-domain
   4.   None
4. \(\lim_{x \rightarrow a}\frac{x^3-a^3}{x-a}\)=
   1.   Undefined
   2.   \(3a^{3}\)
   3.   \(a^2\)
   4.   0
5. A function f(x) is said to be continuous at x=c if:
   1.   f(c) is defined
   2.   \(\lim_{x \rightarrow c}\) f(x) exists
   3.   \(\lim_{x \rightarrow c}\) f(x) = f(c)
   4.   All of them
6. A function \(I:x\rightarrow x\) defined as I(x)=x is called _____ function:
   1.   Even
   2.   Linear
   3.   Identity
   4.   Constant
7. If \(f:X\rightarrow Y\) is function, then y=f(x), x\(\in\)X called _____:
   1.   Domain
   2.   Co-domain
   3.   Range
   4.   None of these
8. If \(\frac{f(x)+f(-x)}{2}=0\), then f(x) is _______:
   1.   Even
   2.   Odd
   3.   Periodic
   4.   Explicit
9. If \(f(x)=\frac{x}{x^2-4} f(x)\) is not defined at x= ______:
   1.   x=4
   2.   x=0
   3.   x=2, -2
   4.   1
10. \(\lim_{x\to 0} {\frac{3^{3x}-1}{x}}=\)
    1.   \(\ell n3\)
    2.   \(\ell n9\)
    3.   \(\infty\)
    4.   \(\ell n27\)
11. Range of constant function is:
    1.   Null set
    2.   R
    3.   Singleton set
    4.   \([0,\infty)\)
12. f(x)=sin x + cos(x) is ____ function:
    1.   Even
    2.   Odd
    3.   Even+Odd
    4.   None of them
13. \(\sin h^{-1} x=\)
    1.   \(\log(x+\sqrt{x^2+1}\)
    2.   \(\log(x-\sqrt{x^2+1}\)
    3.   \(\log(x+\sqrt{x^2-1}\)
    4.   None of them
14. Perimeter P of square as a function of its area A is:
    1.   \(P=\sqrt{A}\)
    2.   \(P=2\sqrt{A}\)
    3.   \(P=3\sqrt{A}\)
    4.   \(P=4\sqrt{A}\)
15. The area of circumscribed n-sides Polygon as \(n\rightarrow \infty\) approaches area of ____:
    1.   Square
    2.   Polygon
    3.   Circle
    4.   Rectangle