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question_answer1)
Multiply \[6{{x}^{3}}-y+3{{x}^{2}}y\,\,by\,\,{{x}^{2}}+{{y}^{2}}\]
A)
\[6{{x}^{5}}-3{{x}^{4}}y-6{{x}^{3}}{{y}^{2}}-6{{x}^{3}}{{y}^{2}}+2{{x}^{2}}{{y}^{3}}-{{y}^{4}}\] done
clear
B)
\[6{{x}^{5}}+3{{x}^{4}}y+6{{x}^{3}}{{y}^{2}}-{{x}^{2}}y+3{{x}^{2}}{{y}^{3}}-{{y}^{3}}\] done
clear
C)
\[6{{x}^{5}}-3{{x}^{4}}y+6{{x}^{3}}{{y}^{2}}+2{{x}^{2}}{{y}^{3}}-{{y}^{5}}\] done
clear
D)
\[6{{x}^{5}}+3{{x}^{4}}y-6{{x}^{3}}{{y}^{2}}+2{{x}^{2}}{{y}^{3}}-{{y}^{5}}\] done
clear
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question_answer2)
If \[3x+4y=18\] and \[xy=6\], find the value of \[9{{x}^{2}}+16{{y}^{2}}\].
A)
180 done
clear
B)
144 done
clear
C)
324 done
clear
D)
170 done
clear
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question_answer3)
Simplify: \[{{\left[ 2{{x}^{2}}-\frac{1}{400}{{y}^{2}} \right]}^{2}}-{{\left[ 2{{x}^{2}}+\frac{1}{400}{{y}^{2}} \right]}^{2}}\]
A)
\[-\frac{{{x}^{2}}{{y}^{2}}}{40}\] done
clear
B)
\[-\frac{{{x}^{2}}{{y}^{2}}}{50}\] done
clear
C)
\[\frac{xy}{50}\] done
clear
D)
\[-\frac{{{x}^{2}}{{y}^{2}}}{5}\] done
clear
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question_answer4)
Square of \[9x-7xy\] is
A)
\[81{{x}^{2}}+49{{x}^{2}}{{y}^{2}}\] done
clear
B)
\[81{{x}^{2}}-49{{x}^{2}}{{y}^{2}}\] done
clear
C)
\[81{{x}^{2}}+49{{x}^{2}}{{y}^{2}}-126{{x}^{2}}y\] done
clear
D)
\[81{{x}^{2}}+49{{x}^{2}}{{y}^{2}}-63{{x}^{2}}y\] done
clear
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question_answer5)
If \[{{x}^{2}}+\frac{1}{{{x}^{2}}}=53\], find the value of \[x-\frac{1}{x}\].
A)
\[\sqrt{51}\] done
clear
B)
\[\sqrt{53}\] done
clear
C)
\[\sqrt{61}\] done
clear
D)
\[\sqrt{63}\] done
clear
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question_answer6)
If \[3x-7y=10\] and \[xy=-1\], then the value of \[9{{x}^{2}}+49{{y}^{2}}\] is __.
A)
58 done
clear
B)
142 done
clear
C)
104 done
clear
D)
-104 done
clear
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question_answer7)
The product of \[({{x}^{2}}+3x+5)\] and \[({{X}^{2}}-1)\] is______.
A)
\[{{x}^{4}}+3{{x}^{3}}-4{{x}^{2}}-3x-5\] done
clear
B)
\[{{x}^{4}}+3{{x}^{3}}+4{{x}^{2}}-3x-5\] done
clear
C)
\[{{x}^{4}}+3{{x}^{3}}+4{{x}^{2}}+3x-5\] done
clear
D)
\[{{x}^{4}}+{{x}^{3}}+x+5\] done
clear
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question_answer8)
Find the missing term in the following problem. \[{{\left( \frac{3x}{4}-\frac{4y}{3} \right)}^{2}}=\frac{9{{x}^{2}}}{16}+\frac{16{{y}^{2}}}{9}+\underline{\,\,\,\,\,\text{?}\,\,\,\,\,}\]
A)
2xy done
clear
B)
-2xy done
clear
C)
12xy done
clear
D)
-12xy done
clear
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question_answer9)
What should be added to \[4{{p}^{2}}+5p+7\] to get\[7{{p}^{2}}+2p+9?\]
A)
\[3{{p}^{2}}-3p+2\] done
clear
B)
\[3{{p}^{2}}+3p+2\] done
clear
C)
\[-3{{p}^{2}}+3p-2\] done
clear
D)
\[3{{p}^{2}}-3p-2\] done
clear
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question_answer10)
Simplify: \[\frac{3}{2}{{x}^{2}}({{x}^{2}}-1)+\frac{1}{4}{{x}^{2}}({{x}^{2}}+x)-\frac{3}{4}x({{x}^{3}}-1)\]
A)
\[{{x}^{4}}+\frac{1}{2}{{x}^{3}}+\frac{1}{4}{{x}^{2}}+x\] done
clear
B)
\[2{{x}^{4}}+\frac{1}{4}{{x}^{3}}-\frac{3}{4}{{x}^{2}}+\frac{1}{4}x\] done
clear
C)
\[{{x}^{4}}+\frac{1}{4}{{x}^{3}}-\frac{3}{2}{{x}^{2}}+\frac{3}{4}x\] done
clear
D)
\[2{{x}^{4}}+\frac{3}{4}{{x}^{3}}-\frac{1}{4}{{x}^{2}}+\frac{3}{4}x\] done
clear
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question_answer11)
What must be subtracted from \[{{x}^{4}}+2{{x}^{2}}-3x+7\] to get \[{{x}^{3}}+{{x}^{2}}+x-1?\]
A)
\[{{x}^{4}}-{{x}^{3}}+{{x}^{2}}-4x+8\] done
clear
B)
\[{{x}^{3}}+{{x}^{2}}-4x+8\] done
clear
C)
\[{{x}^{4}}-{{x}^{3}}+{{x}^{2}}+4x-8\] done
clear
D)
\[{{x}^{4}}-{{x}^{3}}-{{x}^{2}}+4x-8\] done
clear
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question_answer12)
If \[x+\frac{1}{x}=5\], find the value of \[{{x}^{4}}+\frac{1}{{{x}^{4}}}\].
A)
144 done
clear
B)
400 done
clear
C)
236 done
clear
D)
527 done
clear
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question_answer13)
Multiply: \[\left( 4x+\frac{3y}{5} \right)\] and \[\left( 3x-\frac{4y}{5} \right)\]
A)
\[12{{x}^{2}}+\frac{7xy}{5}-\frac{12{{y}^{2}}}{25}\] done
clear
B)
\[12{{x}^{2}}+\frac{7xy}{5}+\frac{12{{y}^{2}}}{5}\] done
clear
C)
\[12{{x}^{2}}-\frac{7xy}{5}-\frac{12{{y}^{2}}}{25}\] done
clear
D)
None of these done
clear
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question_answer14)
Add : \[5{{x}^{2}}-\frac{1}{3}x+\frac{5}{2},-\frac{1}{2}{{x}^{2}}+\frac{1}{2}x-\frac{1}{3}\] and \[-2{{x}^{2}}+\frac{1}{5}x-\frac{1}{6}\].
A)
\[\frac{5}{2}{{x}^{2}}+\frac{11}{30}x+2\] done
clear
B)
\[\frac{3}{2}{{x}^{2}}+\frac{30}{11}x+3\] done
clear
C)
\[\frac{5}{2}{{x}^{2}}+\frac{13}{30}x+1\] done
clear
D)
\[\frac{3}{4}{{x}^{2}}+\frac{12}{11}x+5\] done
clear
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question_answer15)
Find the value of a if\[pqa={{(~3p+q)}^{2}}-{{(3p-q)}^{2}}\].
A)
11 done
clear
B)
21 done
clear
C)
10 done
clear
D)
12 done
clear
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question_answer16)
The perimeter of a triangular field is \[6{{p}^{2}}-4p+9\] and two of its sides are \[{{p}^{2}}-2p+1\] and \[3{{p}^{2}}-5p+3\], Find the third side of the field.
A)
\[8{{p}^{2}}+11p-7\] done
clear
B)
\[2{{p}^{2}}+3p+5\] done
clear
C)
\[3{{p}^{2}}+5p-4\] done
clear
D)
\[5{{p}^{2}}-5p+9\] done
clear
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question_answer17)
If (x - 5) notebooks cost Rs. \[({{x}^{2}}-13x+40)\], what is the cost of one notebook?
A)
\[(x-1)\] done
clear
B)
\[(x-2)\] done
clear
C)
\[(x-6)\] done
clear
D)
\[(x-8)\] done
clear
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question_answer18)
Ameesha and Prachi love gardening. They water their garden regularly. The length and breadth of Ameesha's kitchen garden are x m and y m respectively. The length of Prachi's kitchen garden is 5 m more than that of Ameesha's garden and the breadth of Prachi's garden is 3 m more than that of Ameesha's garden. Find the difference between the area of Ameesha's kitchen garden and Prachi's kitchen garden.
A)
\[(5x+8y+10){{m}^{2}}\] done
clear
B)
\[(3x+5y-15){{m}^{2}}\] done
clear
C)
\[(3x+5y+15){{m}^{2}}\] done
clear
D)
\[(xy+3y+5y+15){{m}^{2}}\] done
clear
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question_answer19)
Amit want to buy a rectangular field whose area is \[(3{{a}^{2}}+5ab+2{{b}^{2}})sq\]. units. One of its sides is \[(a+b)\] units. Find the length of the fence around the field.
A)
\[\text{(10a+20b) units}\] done
clear
B)
\[\text{(4a+30) units}\] done
clear
C)
\[\text{(2a + 2b) units}\] done
clear
D)
\[\text{(8a + 60) units}\] done
clear
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question_answer20)
A T-shirt costs \[Rs.({{x}^{2}}-xy-{{y}^{2}})\] and a sweater costs \[Rs.({{x}^{2}}+8xy-2{{y}^{2}})\] and a jeans cost \[Rs.({{x}^{2}}-3xy+{{4}^{2}})\]. After buying these items Mohit paid \[Rs.{{(2x+y)}^{2}}\] to the cashier. How much amount Mohit receive from the cashier?
A)
Rs. 0 done
clear
B)
Rs. 2x done
clear
C)
Rs. (x+y) done
clear
D)
Rs. 2y done
clear
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question_answer21)
Study the following statements.
Statement 1: The value of the product \[(4{{a}^{2}}+3b)(4{{a}^{2}}+3b)\] at \[a=1\] and \[b=2\] is 100. |
Statement II: Value of \[\frac{{{(997+496)}^{2}}-{{(997-496)}^{2}}}{997\times 496}\] is 2. |
A)
Both Statement - I and Statement - II are true. done
clear
B)
Statement - I is true but Statement - II is false done
clear
C)
Statement - I is false but Statement- II is true done
clear
D)
Both Statement - I and Statement - II are false. done
clear
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question_answer22)
Match the following.
Column - I | Column - II |
P. \[(3{{x}^{2}}-4xy)\] \[(3{{x}^{2}}-3xy)\] | (i) \[12{{x}^{2}}+53xy+55{{y}^{2}}\] |
Q. \[({{x}^{2}}+4)\] \[(9{{x}^{2}}+9y)\] | (ii) \[9{{x}^{2}}+2{{y}^{4}}+11x{{y}^{2}}\] |
R. \[(3x+5y)\] \[(4x+11y)\] | (iii) \[9{{x}^{4}}-21{{x}^{3}}y+12{{x}^{2}}{{y}^{2}}\] |
S. \[({{y}^{2}}+x)\] \[(2{{y}^{2}}+9x)\] | (iv) \[9{{x}^{4}}+45{{x}^{2}}y+36{{y}^{2}}\] |
A)
P \[\to \](iii); Q \[\to \](iv); R\[\to \](i); S \[\to \](ii) done
clear
B)
P\[\to \](ii); Q\[\to \](i); R\[\to \](iv); S\[\to \](iii) done
clear
C)
P\[\to \](iv); Q\[\to \](iii); R\[\to \](i): S\[\to \](ii) done
clear
D)
P\[\to \](iii); Q\[\to \](ii); R\[\to \](iv); S\[\to \](i) done
clear
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question_answer23)
If \[{{x}^{2}}+{{y}^{2}}=29\] and \[xy=2\], find the value of (i) \[x+y\] (ii) \[xy\] (iii) \[{{x}^{4}}+{{y}^{4}}\]
A)
B)
C)
D)
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question_answer24)
Fill in the blanks.
(i) The product of two monomials is always P |
(ii) An equation is true for Q. values of the variable. |
(iii) An identify is true for R values of the variable. |
(iv) The numerical factor of a term is called S |
A)
B)
C)
D)
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question_answer25)
Simplify:- \[\frac{{{a}^{2}}-13a+30}{(a-10)}=\frac{{{a}^{2}}+4a+4}{a+2}\]
A)
\[{{a}^{2}}-8a-20=0\] done
clear
B)
\[{{a}^{2}}+30a-40=0\] done
clear
C)
\[{{a}^{2}}-80a-30=0\] done
clear
D)
\[{{a}^{2}}+7a-30=0\] done
clear
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