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question_answer1)
Which of the following is not a polynomial
A)
\[3x+5\] done
clear
B)
\[3{{y}^{3}}-4{{y}^{2}}+2y\] done
clear
C)
\[{{x}^{3}}-3\] done
clear
D)
\[\frac{1}{x+2}\] done
clear
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question_answer2)
If 2 is a zero of polynomial \[f\left( x \right)=a{{x}^{2}}-3\left( a-1 \right)x-1\]then the value of a is
A)
0 done
clear
B)
2 done
clear
C)
\[\frac{5}{2}\] done
clear
D)
\[\frac{1}{2}\] done
clear
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question_answer3)
If one of the zeroes of the quadratic polynomial \[\left( k-1 \right){{x}^{2}}+kx+1\] is \[-3\], then the value of k is
A)
\[\frac{4}{3}\] done
clear
B)
\[-\frac{4}{3}\] done
clear
C)
\[\frac{2}{3}\] done
clear
D)
\[\frac{-2}{3}\] done
clear
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question_answer4)
If one of the zeroes of the quadratic polynomial \[{{x}^{2}}+\text{ }3x\text{ }+\text{ }k\] is 2, then the value of k is
A)
10 done
clear
B)
-10 done
clear
C)
-7 done
clear
D)
-2 done
clear
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question_answer5)
If 2 and 3 are zeroes of polynomial\[3{{x}^{2}}-2kx+2m\], then the values of k and m are
A)
\[m=\frac{9}{2}\] and \[k=15\] done
clear
B)
\[m=\frac{15}{2}\] and \[k=9\] done
clear
C)
\[m=9\] and \[k=\frac{15}{2}\] done
clear
D)
\[m=15\] and \[k=9\] done
clear
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question_answer6)
The value of p, for which (-4) is a zero of the polynomial \[{{x}^{2}}-2x\left( 7p+3 \right)\]is
A)
3 done
clear
B)
2 done
clear
C)
4 done
clear
D)
-2 done
clear
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question_answer7)
If the graph of a polynomial intersects the X-axis at only one point, it can be a
A)
linear done
clear
B)
quadratic done
clear
C)
cubic done
clear
D)
None of these done
clear
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question_answer8)
Which of the following is not the graph of a quadratic polynomial?
A)
B)
C)
D)
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question_answer9)
The graph of a quadratic polynomial is ............ .
A)
straight line done
clear
B)
parabola done
clear
C)
hyperbola done
clear
D)
None of these done
clear
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question_answer10)
If one zero of polynomial \[{{x}^{2}}-4x+1\] is\[2+\sqrt{3}\], then other zero will be .........
A)
\[-2+\sqrt{3}\] done
clear
B)
\[-\sqrt{3}-2\] done
clear
C)
\[2-\sqrt{3}\] done
clear
D)
\[\sqrt{3}+1\] done
clear
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question_answer11)
The zeroes of the quadratic polynomial \[\left( {{x}^{2}}+5x+6 \right)\]are
A)
-2 and -3 done
clear
B)
3 and 4 done
clear
C)
3 and 2 done
clear
D)
2 and 1 done
clear
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question_answer12)
Zeroes of \[p\left( z \right)={{z}^{2}}-27\]are ............ and ............
A)
\[\pm \,3\sqrt{3}\] done
clear
B)
\[+3\] done
clear
C)
\[+9\] done
clear
D)
\[+\sqrt{3}\] and \[-\sqrt{3}\] done
clear
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question_answer13)
The zeroes of the quadratic polynomial\[f\left( x \right)=ab{{x}^{2}}+\left( {{b}^{2}}-ac \right)x-bc\]are
A)
\[\frac{b}{ac}\] and \[\frac{c}{b}\] done
clear
B)
\[\frac{ab}{c}\] and \[\frac{a}{b}\] done
clear
C)
\[\frac{-b}{a}\]and \[\frac{c}{b}\] done
clear
D)
\[\frac{b}{a}\] and \[\frac{-c}{b}\] done
clear
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question_answer14)
The number of polynomials having zeroes as - 2 and 5 is
A)
1 done
clear
B)
2 done
clear
C)
3 done
clear
D)
more than 3 done
clear
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question_answer15)
1 and 2 are the zeroes the polynomial \[{{x}^{2}}-3x+2\]
A)
True done
clear
B)
False done
clear
C)
Can't say done
clear
D)
Partially true/false done
clear
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question_answer16)
Every real number is the zeroes of zero polynomial
A)
True done
clear
B)
False done
clear
C)
Can't say done
clear
D)
Partially true/False done
clear
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question_answer17)
\[p\left( x \right)=x-1\] and\[g\left( x \right)={{x}^{2}}-2x+1\], \[p\left( x \right)\] is a factor of g (x)
A)
True done
clear
B)
False done
clear
C)
Can't Say done
clear
D)
Partially True/False done
clear
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question_answer18)
The value of k for which 3 is a zero of polynomial \[2{{x}^{2}}+x+k\]is ............
A)
21 done
clear
B)
20 done
clear
C)
-21 done
clear
D)
18 done
clear
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question_answer19)
If zeroes a and P of a polynomial \[{{x}^{2}}-7x+k\]are such that\[\alpha -\beta =1\], then the value of k is
A)
21 done
clear
B)
12 done
clear
C)
9 done
clear
D)
8 done
clear
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question_answer20)
Sum of zeroes of Quadratic polynomial \[=-\frac{Coefficient\,of\,x}{Coefficient\,of\,{{x}^{2}}}\]
A)
True done
clear
B)
False done
clear
C)
Can't say done
clear
D)
Partially true/false done
clear
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question_answer21)
If \[\alpha \] and \[\beta \] are zeroes of the quadratic polynomial \[{{x}^{2}}-6x+a\]the value of 'a', if \[3\alpha +2\beta =20\]is -12
A)
True done
clear
B)
False done
clear
C)
Can't say done
clear
D)
Partially True/False done
clear
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question_answer22)
If one of the zeroes of a quadratic polynomial of the form \[{{x}^{2}}+ax+b\]is the negative of the other, then it
A)
has no linear term and the constant term is negative done
clear
B)
has no linear term and the constant term is positive done
clear
C)
can have a linear term but the constant term is negative done
clear
D)
can have a linear term but the constant term is positive done
clear
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question_answer23)
If p and q are zeroes of\[3{{x}^{2}}+2x-9\], then value of p - q is
A)
-3 done
clear
B)
-2 done
clear
C)
\[\pm \,\frac{4\sqrt{7}}{3}\] done
clear
D)
None of these done
clear
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question_answer24)
The polynomial whose zeroes are\[\left( \sqrt{2}+1 \right)\] and \[\left( \sqrt{2}-1 \right)\]is
A)
\[{{x}^{2}}+2\sqrt{2}x+1\] done
clear
B)
\[{{x}^{2}}-2\sqrt{2}x+1\] done
clear
C)
\[{{x}^{2}}+2\sqrt{2}x-1\] done
clear
D)
\[{{x}^{2}}-2\sqrt{2}x-1\] done
clear
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question_answer25)
If \[\alpha \] and \[\beta \] are the zeroes of the polynomial \[2{{y}^{2}}+7y+5\], then the value of \[\alpha +\beta +\alpha \beta \]is
A)
-1 done
clear
B)
0 done
clear
C)
1 done
clear
D)
2 done
clear
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question_answer26)
If \[\alpha \] and \[\beta \] are the zeroes of the quadratic polynomial \[f\left( x \right)=3{{x}^{2}}-5x-2\] then \[{{\alpha }^{3}}+{{\beta }^{3}}\] is equal to
A)
\[\frac{215}{27}\] done
clear
B)
\[\frac{357}{21}\] done
clear
C)
\[\frac{115}{28}\] done
clear
D)
\[\frac{325}{31}\] done
clear
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question_answer27)
If \[\alpha \]and \[\beta \]are the zeroes of \[4{{x}^{2}}+3x+7\]then the value of \[\frac{1}{\alpha }+\frac{1}{\beta }\]is
A)
\[-\frac{8}{7}\] done
clear
B)
\[-\frac{3}{7}\] done
clear
C)
\[\frac{2}{7}\] done
clear
D)
\[\frac{6}{8}\] done
clear
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question_answer28)
If the zeroes of the quadratic polynomial \[{{x}^{2}}+\left( a+1 \right)x+b\]are 2 and - 3, then
A)
\[a=-7,\,b=-1\] done
clear
B)
\[a=5,\,b=-1\] done
clear
C)
\[a=2,\,b=-6\] done
clear
D)
\[a=0,\,b=-6\] done
clear
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question_answer29)
If the sum and difference of zeroes of quadratic polynomial are - 3 and - 10, respectively. Then, the difference of the squares of zeroes is
A)
20 done
clear
B)
30 done
clear
C)
15 done
clear
D)
25 done
clear
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question_answer30)
If sum and product of zeroes of quadratic polynomial are, respectively 8 and 12, then their zeroes are
A)
2 and 6 done
clear
B)
3 and 4 done
clear
C)
2 and 8 done
clear
D)
2 and 5 done
clear
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question_answer31)
If to and n are the zeroes of the polynomial\[3{{x}^{2}}+11x-4\], then find the value \[\frac{m}{n}+\frac{n}{m}\].
A)
\[\frac{145}{12}\] done
clear
B)
\[-\frac{145}{12}\] done
clear
C)
\[\frac{145}{7}\] done
clear
D)
\[\frac{-145}{15}\] done
clear
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question_answer32)
If one zero of the polynomial\[3{{x}^{2}}-8x+2k+1\]is seven times the other, then the value of k is
A)
\[\frac{2}{5}\] done
clear
B)
\[\frac{2}{3}\] done
clear
C)
\[\frac{2}{7}\] done
clear
D)
\[\frac{3}{2}\] done
clear
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question_answer33)
If sum of the squares of zeroes of the quadratic polynomial \[f\left( x \right)={{x}^{2}}-4x+k\]is 20, then the value of k is
A)
-2 done
clear
B)
-3 done
clear
C)
-4 done
clear
D)
2 done
clear
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question_answer34)
If \[\alpha \] and \[\beta \]are zeroes of the polynomial \[{{x}^{2}}-p\left( x+1 \right)+c\]such that \[\left( \alpha +1 \right)\left( \beta +1 \right)=0\], then the value of c is
A)
-2 done
clear
B)
2 done
clear
C)
-1 done
clear
D)
1 done
clear
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question_answer35)
The value of k such that the polynomial \[{{x}^{2}}-\left( k+6 \right)x+2\left( 2k-1 \right)\]has sum of its zeroes equal to half of their product is
A)
-4 done
clear
B)
4 done
clear
C)
-7 done
clear
D)
7 done
clear
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question_answer36)
The sum and the product of zeroes of the polynomial \[{{x}^{2}}-\left( k+6 \right)x+2\left( 2k-1 \right)\]are equal the value of k is
A)
k=3 done
clear
B)
k=-3 done
clear
C)
\[k=\pm \,3\] done
clear
D)
k=2 done
clear
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question_answer37)
If \[\alpha \] and \[\beta \]are the zeroes of the quadratic polynomial \[f\left( x \right)={{x}^{2}}-4x+3\], then the value of\[{{\alpha }^{4}}{{\beta }^{3}}+{{\alpha }^{3}}{{\beta }^{4}}\] is
A)
104 done
clear
B)
108 done
clear
C)
112 done
clear
D)
5 done
clear
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question_answer38)
The quadratic polynomial, the sum of whose zeroes is - 5 and their product is 6, is
A)
\[{{x}^{2}}+5x+6\] done
clear
B)
\[{{x}^{2}}-5x+6\] done
clear
C)
\[{{x}^{2}}-5x-6\] done
clear
D)
\[-{{x}^{2}}+5x+6\] done
clear
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question_answer39)
The quadratic polynomial whose zeroes are \[2\sqrt{7}\]and \[-5\sqrt{7}\] is
A)
\[{{x}^{2}}-3\sqrt{7}x-70\] done
clear
B)
\[{{x}^{2}}+3\sqrt{7}x+70\] done
clear
C)
\[{{x}^{2}}+3\sqrt{7}x-70\] done
clear
D)
\[{{x}^{2}}-3\sqrt{7}x+70\] done
clear
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question_answer40)
The quadratic polynomial, whose zeroes are \[3+\sqrt{2}\]and \[3-\sqrt{2}\], is
A)
\[{{x}^{2}}-3x+5\] done
clear
B)
\[{{x}^{2}}-6x+7\] done
clear
C)
\[{{x}^{2}}-7x+6\] done
clear
D)
\[{{x}^{2}}-8x+12\] done
clear
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question_answer41)
If \[\alpha \] and \[\beta \] are the zeroes of the quadratic polynomial \[f\left( x \right)={{x}^{2}}+x-2\], then the polynomial whose zeroes are \[2\alpha +1\]and \[2\beta +1\]is
A)
\[{{x}^{2}}+9\] done
clear
B)
\[{{x}^{2}}-4\] done
clear
C)
\[{{x}^{2}}-9\] done
clear
D)
\[{{x}^{2}}+4\] done
clear
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question_answer42)
If \[\alpha \] and \[\beta \] are zeroes of a quadratic polynomial \[{{x}^{2}}-5\], then the quadratic polynomial whose zeroes are \[1+\alpha \] and \[1+\beta \] is
A)
\[{{x}^{2}}+2x+24\] done
clear
B)
\[{{x}^{2}}-2x-24\] done
clear
C)
\[{{x}^{2}}-2x+24\] done
clear
D)
None of these done
clear
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question_answer43)
The number of value of k for which the quadratic polynomial \[k{{x}^{2}}+x+k\]has equal zeroes is
A)
4 done
clear
B)
1 done
clear
C)
2 done
clear
D)
3 done
clear
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question_answer44)
\[p\left( x \right)=5{{x}^{3}}-3{{x}^{2}}+7x+2\], then match the value of Column I with that of
Column I
|
Column II
|
A.
|
p(1)
|
P.
|
2
|
B.
|
p(0)
|
Q.
|
11
|
C.
|
p(5)
|
R.
|
-13
|
D.
|
p(-1)
|
S.
|
-64
|
E.
|
p(-2)
|
T.
|
587
|
A)
A-Q, B-T, C-R, D-P, E-S done
clear
B)
A-Q, B-R, C-T, D-S, E-P done
clear
C)
A-Q, B-P, C-T, D-R, E-S done
clear
D)
A-T, B-R, C-Q, D-S, E-P done
clear
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question_answer45)
If \[\alpha \] and \[\beta \] are the zeroes of the polynomial\[2{{x}^{2}}-4x+5\], then match the value of Column I with that of Column II
| Column I | | Column II |
A. | \[\frac{1}{\alpha }+\frac{1}{\beta }\] | 1. | - 6 |
B. | \[{{\left( \alpha -\beta \right)}^{2}}\] | 2. | \[\frac{-4}{25}\] |
C. | \[\frac{1}{{{\alpha }^{2}}}+\frac{1}{{{\beta }^{2}}}\] | 3. | \[\frac{-2}{5}\] |
D. | \[\frac{\alpha }{\beta }+\frac{\beta }{\alpha }\] | 4. | \[\frac{4}{5}\] |
A)
A-4, B-1, C-2, D-3 done
clear
B)
A-4, B-2, C-1, D-3 done
clear
C)
A-1, B-2, C-3, D-4 done
clear
D)
A-1, B-4, C-2, D-3 done
clear
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