Chap-2 MCQs - AMU/JMI XI-Dip.Engg. Entrance Test

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Maths Class X Chap-1 , Chap-2 ,Chap-3 ,Chap-4 , Chap-5 ,Chap-6 ,Chap-7 ,Chap-8 ,Chap-9 ,Chap-10 ,Chap-11 ,Chap-12 ,Chap-13 ,Chap-14, Chap-15
Chapter 2 : Polynomials
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Chapter 2 Polynomial Class IX                                      Answers

        

1a. Choose incorrect option regarding Polynomials in one variable
a)      Polynomials have only whole numbers as the exponents of the variable.
b)     Every polynomial can be regarded as algebraic expression. 
c)      Polynomials may contain roots of variables.
d)     Polynomial may contain one or more than one algebraic terms in an algebraic expressions

2a. The number of terms in the polynomials 3x⁴ -2x -5 is

a) 1                b) 2                 c) 3                  d) 4

3a. The sum of the coefficients of the polynomials -10x³ -2x² -3x - 5 is

a) 0                b) 1                 c) 5                 d) 6

4a. The sum of the exponents of the polynomials -10x³ -2x² -3x - 5 is

a) 0                b) 1                 c) 5                 d) 6

5a. The coefficient of x⁰ in the polynomial 10x³ -2x² -3x - 5 is

a) 0                b) 2                 c) 5                 d) -5

6a. Which of the following is a polynomial?
a)      2x² -3x - 5
b)      0
c)      -5
d)     All of the above

7a. Which of the following is zero polynomial?
a)      0
b)      2x⁰ 
c)      -2
d)     All of the above

8a. Which of the following an algebraic expression.
a)     1/x
b)      sqrt(2)+1
c)      2x³+1
d)     All of the above

9a. Choose the incorrect statement
a)      A polynomial can have any finite number of terms
b)      A polynomial have maximum 3 terms
c)      A polynomial have variable’s powers as non-negative integers
d)     A polynomial have minimum 1 terms

10a. Which of the following is/are monomial?
a)      2
b)      x²
c)      2x³
d)     All of the above

11a. Which of the following is/are binomial?
a)      2
b)      x² + 2x
c)      2x³
d)     All of the above
12a. Which of the following is/are trinomial?
a)      2
b)      x³+ 2x+1
c)      2x³
d)     Both b & c

13a. The degree of the polynomial -5x⁵+3x2+x-1
a)      -1
b)      4
c)      -5
d)     5

14a. The degree of the constant term in the polynomial -5x⁵+3x2+x-1 is
a)      0
b)      -1
c)      1
d)     5

15a. The degree of linear polynomial is
a)      0
b)      1
c)     2
d)     3

16a. ax + b is a constant polynomial if
a)      a and b(≠0) are real numbers
b)      a = 0 & b any real number
c)      a > 0 & b>0
d)     a <0  & b<0

17a. Which of the following is a quadratic polynomial?
a)       +3x +1
b)      2x² + 2x – 5
c)      Both a & b
d)     None

18a. The maximum number of terms in a quadratic polynomial is
a)      5
b)      4
c)      3
d)     2

19a. 18. The minimum number of terms in a quadratic polynomial is
a)      0
b)      1
c)      2
d)     3

20a. In the quadratic equation ax²+ bx+ c. “a” can’t be equal to
a)      0
b)      1
c)      2
d)     -1

21a. The equation ax²+ bx+ c will reduces to linear equation if “a” is equal to
a)      0
b)      1
c)      2
d)     -1

22a. The equation -2x³ - 5x + 1 is a
a)      cubic polynomial
b)      trinomial
c)      both a & 
d)     None

23a. What is the degree of the zero polynomial?
a)      0
b)      1
c)      -1
d)     None

24a. Choose the incorrect option.A polynomial may have
a)      One variable only
b)      Two variables
c)      Three variables
d)     Four variable

25a. Which of following is a polynomial in one variable?
a)      y –1/y
b)      x+2y
c)      3√t +1
d)     None of the above
Answers

1. The degree of the polynomial 4x³-2x+5 is

a)      4

b)      3

c)      2

d)     1

2. Which of following is not a polynomial?
a)   4x²-2

     b)   5

     c)   1/(1+x)

     d)   0

3. Which of the following is a linear polynomial?

a)   1/x
b)    x
c)   √x
d)   All of the above

4. The degree of polynomials is

a)      0

b)      1

c)      2 

d)     Less than 2

5. Which of the following is a polynomial?

a)   2√x + 3

b)   1/(1+x^2 )

c)    x^(2/3) -3x +1

d)   None

6. Which of the following is/are quadratic polynomial?

a)    √(x^4 ) + 5x

b)      (2/3)x^2+2

c)      x² 

d)     all of the above

7. The sum of confidents the x² and x² of the polynomials 4x³ -4x² +1 is

a)   0                b) 1             c) 4                  d) 5

8. If f(x) = 4 then f(-1) = ?

a)   0                b) -1             c) 1                  d) 4

9. If a and b are zeroes of a quadratic polynomial p(x) then p(a)+p(b) = ?

a)   0              b) -1             c) a+b                  d) a-b

10. The zero of the linear polynomial ax + b is

a)                  b) – b/a               c) – a/b               d)

11. Choose the correct option for the following statements

A: The zero of a linear polynomial is related to its coefficients

B: The zeroes of a quadratic polynomial are related to its coefficients

a)      A is correct & B is incorrect

b)      B is correct & A is incorrect

c)      Both A & B are correct

d)     Both A & B are incorrect

12. The line y = x+3 intersect x and y axes at points

a)      (0, 3) and (-3, 0) respectively

b)      (-3, ) and (0, 3) respectively

c)      (-3, -3) and (3, 3) respectively

d)     (3, 3) and (-3, -3) respectively

13. The line y = 2x - 3 intersects x-axis at point

a)      (1.5, 0)

b)      (0, 1.5).

c)      Both a & b

d)     None

14. The graph of a quadratic equation is known as

a)      Straight line

b)      Circle

c)      Parabola

d)     Ellipse

15. The zeroes of the quadratic polynomial ax² +bx +c are x-coordinates of the points where the graph of ax² +bx +c  intersects the

a)      x-axis

b)      y-axis

c)      both x and y axes

d)     None

16. The minimum number of points where the graph of a quadratic polynomial can interest x-axis is

a)   0               b) 1             c) 2               d) infinite

17. The maximum number of points where the graph of a quadratic polynomial can interest x-axis is

a)   0               b) 1             c) 2               d) infinite

18. The roots of the quadratic polynomial whose graph is given below is

a)      x = 4 & x=3

b)      x = -3 & x=4

c)      x =-11

d)     all of the above

19. The number of solutions of a polynomial whose graph is given below is

a)   0               b) 1             c) 2               d) infinite

20. The number of zeroes of the quadratic polynomial whose graph is given below is

a)   0               b) 2             c) 4               d) infinite

21. The number roots of the polynomial x³ is

a)   0               b) 1             c) 3              d) infinite

22. Choose incorrect option
a)      A polynomial p(x) of degree n, the graph of y= p(x) intersects the x-axis at atmost n points.
b)      A polynomial p(x) of degree n has at most n zeroes.
c)      A polynomial p(x) of degree n has at least one zero.
d)     A polynomial p(x) of degree n may have 0 to  n number of zeros.

23. A non-zero constant polynomial has
a)      Infinite zeros
b)      No zero
c)      One zero
d)     Two zero

 24. A zero polynomial has
a)      Infinite zeros
b)      No zero
c)      One zero
d)     Two zero

25. A polynomial is such that its graph never touches x axis. The number of zeroes of such polynomial is

a)   0               b) 1             c) 2              d) infinite

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Maths Class X Chap-1 , Chap-2 ,Chap-3 ,Chap-4 , Chap-5 ,Chap-6 ,Chap-7 ,Chap-8 ,Chap-9 ,Chap-10 ,Chap-11 ,Chap-12 ,Chap-13 ,Chap-14, Chap-15

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