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MCQOPTIONS
This section includes 1900 Mcqs, each offering curated multiple-choice questions to sharpen your 9th Class knowledge and support exam preparation. Choose a topic below to get started.
| 451. |
If\[{{(x-1)}^{7}}={{a}_{7}}{{x}^{7}}+{{a}_{6}}{{x}^{6}}+{{a}_{5}}{{x}^{5}}+....+{{a}_{1}}x+{{a}_{0}}\], what is the value of \[{{a}_{7}}+{{a}_{6}}+{{a}_{5}}+....+{{a}_{1}}+{{a}_{0}}\]? |
| A. | \[0\] |
| B. | \[1\] |
| C. | \[128\] |
| D. | \[64\] |
| Answer» B. \[1\] | |
| 452. |
What is the value of\[\frac{{{(2.3)}^{3}}-0.027}{{{(2.3)}^{2}}+0.69+0.09}\]? |
| A. | \[2\] |
| B. | \[3\] |
| C. | \[2.327\] |
| D. | \[2.273\] |
| Answer» B. \[3\] | |
| 453. |
Evaluate\[\frac{{{(3.78)}^{2}}-{{(2.22)}^{2}}}{1.56}\] |
| A. | \[6\] |
| B. | \[3\] |
| C. | \[9\] |
| D. | \[15\] |
| Answer» B. \[3\] | |
| 454. |
If \[\mathbf{x=}\sqrt{\mathbf{3}}\mathbf{+}\frac{\mathbf{1}}{\sqrt{\mathbf{3}}}\]and \[\mathbf{y=}\sqrt{\mathbf{3}}\mathbf{-}\frac{\mathbf{1}}{\sqrt{\mathbf{3}}}\], then the value of \[\frac{{{\mathbf{x}}^{\mathbf{2}}}}{\mathbf{y}}\mathbf{+}\frac{{{\mathbf{y}}^{\mathbf{2}}}}{\mathbf{x}}\]is |
| A. | \[\sqrt{3}\] |
| B. | \[3\sqrt{3}\] |
| C. | \[16\sqrt{3}\] |
| D. | \[2\sqrt{3}\] |
| Answer» C. \[16\sqrt{3}\] | |
| 455. |
If \[X=\frac{a-b}{a+b}.y=\frac{b-c}{b+c},Z=\frac{c-a}{c+a},\]then the value of \[\frac{(1+x)(1+y)(1+z)}{(1-x)(1-y)(1-z)}\]is _______. |
| A. | \[abc\] |
| B. | \[{{a}^{2}}{{b}^{2}}{{c}^{2}}\] |
| C. | 1 |
| D. | \[-1\] |
| Answer» D. \[-1\] | |
| 456. |
Which of the following is one of the factors of\[{{a}^{3}}+8{{b}^{3}}-64{{c}^{3}}+24abc\]? |
| A. | \[a+2b-4c\] |
| B. | \[a-2b+4c\] |
| C. | \[a+2b+4c\] |
| D. | \[a-2b-4c\] |
| Answer» B. \[a-2b+4c\] | |
| 457. |
If\[a+b+c=10\], \[{{a}^{2}}+{{b}^{2}}+{{c}^{2}}=38\] and\[{{a}^{3}}+{{b}^{3}}+{{c}^{3}}=160\], find the value of\[abc\]. |
| A. | \[45\] |
| B. | \[15\] |
| C. | \[10\] |
| D. | \[30\] |
| Answer» E. | |
| 458. |
What is the remainder obtained when the polynomial \[p(x)\] is divided by\[(b-ax)\]? |
| A. | \[p\left( \frac{-b}{a} \right)\] |
| B. | \[p\left( \frac{a}{b} \right)\] |
| C. | \[p\left( \frac{b}{a} \right)\] |
| D. | \[p\left( \frac{-a}{b} \right)\] |
| Answer» D. \[p\left( \frac{-a}{b} \right)\] | |
| 459. |
Factorise\[:\]\[4{{a}^{2}}+9{{b}^{2}}+{{c}^{2}}+12ab+4ac+6bc\]. |
| A. | \[{{(2a+3b+c)}^{2}}\] |
| B. | \[{{(a+3b+2c)}^{2}}\] |
| C. | \[{{(a-3b+2c)}^{2}}\] |
| D. | \[{{(2a+3b-c)}^{2}}\] |
| Answer» B. \[{{(a+3b+2c)}^{2}}\] | |
| 460. |
Factorise\[:\]\[\frac{{{a}^{2}}}{{{b}^{2}}}+2+\frac{{{b}^{2}}}{{{a}^{2}}}\]. |
| A. | \[{{\left( \frac{a}{b}+\frac{b}{a} \right)}^{2}}\] |
| B. | \[{{\left( 1+\frac{a}{b} \right)}^{2}}\] |
| C. | \[{{\left( 1-\frac{b}{a} \right)}^{2}}\] |
| D. | \[{{\left( \frac{b}{a}-\frac{a}{b} \right)}^{2}}\] |
| Answer» B. \[{{\left( 1+\frac{a}{b} \right)}^{2}}\] | |
| 461. |
If\[{{(x+y)}^{3}}-{{(x-y)}^{3}}-6y({{x}^{2}}-{{y}^{2}})=k{{y}^{3}}\], find\[k\]. |
| A. | \[1\] |
| B. | \[2\] |
| C. | \[4\] |
| D. | \[8\] |
| Answer» E. | |
| 462. |
Find one of the factors of\[(x-1)-({{x}^{2}}-1)\]. |
| A. | \[{{x}^{2}}-1\] |
| B. | \[x+1\] |
| C. | \[x-1\] |
| D. | \[x+4\] |
| Answer» D. \[x+4\] | |
| 463. |
If\[x+\frac{1}{x}=3\], find the value of\[{{x}^{2}}+\frac{1}{{{x}^{2}}}\]? |
| A. | \[9\] |
| B. | \[11\] |
| C. | \[7\] |
| D. | \[8\] |
| Answer» D. \[8\] | |
| 464. |
If\[{{x}^{2}}+kx+6=(x+2)(x+3)\]for all\[x\], what is the value of\[k\]? |
| A. | \[1\] |
| B. | \[6\] |
| C. | \[5\] |
| D. | \[3\] |
| Answer» D. \[3\] | |
| 465. |
If HCF and LCM of two terms a and b are x and y respectively and \[\mathbf{a}+\mathbf{b}=\mathbf{x}+\mathbf{y},\] then \[{{\mathbf{x}}^{\mathbf{2}}}\mathbf{+}{{\mathbf{y}}^{\mathbf{2}}}\mathbf{=?}\] |
| A. | \[{{a}^{2}}-{{b}^{2}}\] |
| B. | \[2{{a}^{2}}+{{b}^{2}}\] |
| C. | \[{{a}^{2}}+{{b}^{2}}\] |
| D. | \[{{a}^{2}}+2{{b}^{2}}\] |
| Answer» D. \[{{a}^{2}}+2{{b}^{2}}\] | |
| 466. |
If \[{{x}^{2014}}+2014\] is divided by\[(x+1)\], what is the remainder? |
| A. | \[2014\] |
| B. | \[1\] |
| C. | \[2013\] |
| D. | \[2015\] |
| Answer» E. | |
| 467. |
\[{{x}^{12}}-{{y}^{12}}=\] |
| A. | \[(x-y)({{x}^{2}}+xy+{{y}^{2}})(x+y)({{x}^{2}}-xy+{{y}^{2}})\]\[({{x}^{2}}+{{y}^{2}})({{x}^{4}}-{{x}^{2}}{{y}^{2}}+{{y}^{4}})\] |
| B. | \[(x+y)({{x}^{2}}-xy+{{y}^{2}})(x+y)({{x}^{2}}-xy+{{y}^{2}})\]\[({{x}^{2}}+{{y}^{2}})({{x}^{4}}-{{x}^{2}}{{y}^{2}}+{{y}^{4}})\] |
| C. | \[(x+y)({{x}^{2}}+xy-{{y}^{2}})(x+y)({{x}^{2}}-xy+{{y}^{2}})\]\[({{x}^{2}}+{{y}^{2}})({{x}^{4}}-{{x}^{2}}{{y}^{2}}+{{y}^{4}})\] |
| D. | \[(x-y)({{x}^{2}}-xy+{{y}^{2}})(x+y)({{x}^{2}}-xy+{{y}^{2}})\]\[({{x}^{2}}+{{y}^{2}})({{x}^{4}}-{{x}^{2}}{{y}^{2}}+{{y}^{4}})\] |
| Answer» B. \[(x+y)({{x}^{2}}-xy+{{y}^{2}})(x+y)({{x}^{2}}-xy+{{y}^{2}})\]\[({{x}^{2}}+{{y}^{2}})({{x}^{4}}-{{x}^{2}}{{y}^{2}}+{{y}^{4}})\] | |
| 468. |
Given \[P=\]Product of \[{{x}^{2}}y\] and \[\frac{x}{y}\] and \[Q=\] Quotient obtained when \[{{x}^{2}}\] is divided by\[D\]. If\[P=Q\], what is the value of\[D\]? |
| A. | \[0\] |
| B. | \[1\] |
| C. | \[x\] |
| D. | \[\frac{1}{x}\] |
| Answer» E. | |
| 469. |
If \[(x-a)(x-b)\] are factors of polynomial\[g(x)\], which of the following statements is correct? |
| A. | \[g(a)=0,\,\,g(b)\ne 0\] |
| B. | \[g(a)=0,\,\,g(b)=0\] |
| C. | \[g(a)\ne 0,\,\,g(b)\ne 0\] |
| D. | \[g(a)\ne 0,\,\,g(b)=0\] |
| Answer» C. \[g(a)\ne 0,\,\,g(b)\ne 0\] | |
| 470. |
If the LCM and HCF of two quadratic polynomials are \[{{\mathbf{x}}^{\mathbf{3}}}-\mathbf{7x}+\mathbf{6}\] and \[\left( \mathbf{x}-\mathbf{1} \right)\] respectively, find the polynomials. |
| A. | \[\left( {{x}^{2}}-3x+2 \right),\left( {{x}^{2}}+2x+3 \right)\] |
| B. | \[\left( {{x}^{2}}+3x-2 \right),\left( {{x}^{2}}-2x+3 \right)\] |
| C. | \[\left( {{x}^{2}}-3x+2 \right),\left( {{x}^{2}}+2x-3 \right)\] |
| D. | \[\left( {{x}^{2}}+3x+2 \right),\left( {{x}^{2}}+2x+3 \right)\] |
| Answer» D. \[\left( {{x}^{2}}+3x+2 \right),\left( {{x}^{2}}+2x+3 \right)\] | |
| 471. |
If \[(x-1)\] is a factor of polynomial \[f(x)\] but not of\[g(x)\], it must be a factor of which of the following polynomials? |
| A. | \[f(x)\,\,g(x)\] |
| B. | \[-f(x)+g(x)\] |
| C. | \[f(x)-g(x)\] |
| D. | \[\{f(x)-g(x)\}g(x)\] |
| Answer» B. \[-f(x)+g(x)\] | |
| 472. |
What is the HCF of \[{{\mathbf{x}}^{\mathbf{2}}}-\mathbf{5x}+\mathbf{6},\]\[{{\mathbf{x}}^{\mathbf{2}}}-\mathbf{7x}+\mathbf{12}\] and \[{{\mathbf{x}}^{\mathbf{2}}}+\mathbf{9x}+\mathbf{20}\] |
| A. | 1 |
| B. | \[\left( x-3 \right)\] |
| C. | \[\left( 2x-5 \right)\] |
| D. | \[x-4\] |
| Answer» B. \[\left( x-3 \right)\] | |
| 473. |
If \[{{x}^{2}}+x+1\] is a factor of the polynomial \[3{{x}^{3}}+8{{x}^{2}}+8x+3+5k\], what is the value of\[k\]? |
| A. | \[0\] |
| B. | \[2/5\] |
| C. | \[5/2\] |
| D. | \[-1\] |
| Answer» C. \[5/2\] | |
| 474. |
What is the LCM of \[{{\mathbf{x}}^{\mathbf{2}}}\mathbf{-1,}\]\[{{\mathbf{x}}^{\mathbf{2}}}\mathbf{-4x+3}\] and \[{{\mathbf{x}}^{\mathbf{2}}}\mathbf{+3x+2?}\] |
| A. | \[\left( x+3 \right)\left( x+1 \right)\] |
| B. | \[\left( {{x}^{2}}-1 \right)\left( x+2 \right)\left( x-3 \right)\] |
| C. | \[\left( x-1 \right)\left( x-2 \right)\left( x-3 \right)\] |
| D. | \[\left( {{x}^{2}}-1 \right)\left( x+2 \right)\left( x+3 \right)\] |
| Answer» C. \[\left( x-1 \right)\left( x-2 \right)\left( x-3 \right)\] | |
| 475. |
For what value of k, \[\mathbf{3}{{\mathbf{x}}^{\mathbf{4}}}\mathbf{+2}{{\mathbf{x}}^{\mathbf{3}}}\mathbf{+3k}{{\mathbf{x}}^{\mathbf{2}}}\mathbf{+2x+6}\] is exactly divisible by \[\mathbf{(x-2)?}\] |
| A. | 1 |
| B. | 2 |
| C. | -2 |
| D. | \[-\frac{8}{3}\] |
| Answer» E. | |
| 476. |
When \[{{x}^{3}}-2{{x}^{2}}+ax-b\] is divided by \[{{x}^{2}}-2x-3\]the remainder is\[x-6\]. Find the values of \[a\] and\[b\]. |
| A. | \[-2\] and \[-6\] |
| B. | \[2\] and\[-6\] |
| C. | \[-2\] and \[6\] |
| D. | \[2\] and \[6\] |
| Answer» D. \[2\] and \[6\] | |
| 477. |
If\[(x+1)\]is factor of\[{{x}^{n}}+1\], which of the following statements is true? |
| A. | \[n\] is an odd integer |
| B. | \[n\] is an even integer |
| C. | \[n\] is a negative integer |
| D. | \[n\] is a positive integer |
| Answer» B. \[n\] is an even integer | |
| 478. |
Factorise:\[{{x}^{2}}-{{z}^{2}}+{{y}^{2}}-{{p}^{2}}+2pz-2xy\] |
| A. | \[(x-y-p-z)(x-y-p+z)\] |
| B. | \[(x-y+p-z)(x-y-p+z)\] |
| C. | \[(x+y+p-z)(x+y+p+z)\] |
| D. | \[(x+y-p+z)(x-y-p+z)\] |
| Answer» C. \[(x+y+p-z)(x+y+p+z)\] | |
| 479. |
If \[\mathbf{p=2-a,}\] then the value of \[{{\mathbf{a}}^{\mathbf{3}}}\mathbf{+6ap+}{{\mathbf{p}}^{\mathbf{3}}}\mathbf{-8}\] is |
| A. | 1 |
| B. | 0 |
| C. | 3 |
| D. | -1 |
| Answer» C. 3 | |
| 480. |
Which of the following polynomials has \[-5\] as a zero? |
| A. | \[(p-5)\] |
| B. | \[{{x}^{2}}-25\] |
| C. | \[{{p}^{2}}-5p\] |
| D. | \[{{x}^{2}}+5\] |
| Answer» C. \[{{p}^{2}}-5p\] | |
| 481. |
The value of \[\frac{{{\left( {{a}^{2}}-{{b}^{2}} \right)}^{3}}{{\left( {{b}^{2}}-{{c}^{2}} \right)}^{3}}+{{\left( {{c}^{2}}-{{a}^{2}} \right)}^{3}}}{{{\left( a-b \right)}^{3}}+{{\left( b-c \right)}^{3}}+{{\left( c-a \right)}^{3}}}\]is |
| A. | \[3\left( a+b \right)\left( b+c \right)\left( c+a \right)\] |
| B. | \[3\left( a-b \right)\left( b-c \right)\left( c-a \right)\] |
| C. | \[(a-b)\left( b-c \right)\left( c-a \right)\] |
| D. | \[\left( a+b \right)\left( b+c \right)\left( c+a \right)\] |
| Answer» E. | |
| 482. |
If\[y-2\]and\[y-\frac{1}{2}\]are the factors of \[p{{y}^{2}}+5y+r\], which of the following holds good? |
| A. | \[p>r\] |
| B. | \[p=r\] |
| C. | \[p<r\] |
| D. | Both (a) and (c) |
| Answer» C. \[p<r\] | |
| 483. |
When \[p(x)={{x}^{3}}+a{{x}^{2}}+2x+a\]is divided by \[(x+a).\] the remainder is ___. |
| A. | 0 |
| B. | a |
| C. | -a |
| D. | 2a |
| Answer» D. 2a | |
| 484. |
If \[(x-2)\] is one factor of\[{{x}^{2}}+ax-6=0\]and\[{{x}^{2}}-9x+b=0\], find\[a+b\]. |
| A. | \[15\] |
| B. | \[13\] |
| C. | \[11\] |
| D. | \[10\] |
| Answer» B. \[13\] | |
| 485. |
If\[x-1\]is a factor of\[f(x)={{x}^{3}}-6{{x}^{2}}+11x-6\], which of the following is true? |
| A. | \[f(-x)=0\] |
| B. | \[f(-1)=0\] |
| C. | \[f(x)=0\] |
| D. | \[f(1)=0\] |
| Answer» E. | |
| 486. |
If \[\mathbf{x+}\frac{\mathbf{1}}{\mathbf{x}}\mathbf{=3}\], then the value of \[{{\mathbf{x}}^{\mathbf{4}}}+\frac{1}{{{\mathbf{x}}^{\mathbf{4}}}}\]is |
| A. | 56 |
| B. | 74 |
| C. | 47 |
| D. | 60 |
| Answer» D. 60 | |
| 487. |
The product of \[\left( \mathbf{x-}\frac{\mathbf{1}}{\mathbf{x}} \right)\left( \mathbf{x+}\frac{\mathbf{1}}{\mathbf{x}} \right)\left( {{\mathbf{x}}^{\mathbf{2}}}\mathbf{+}\frac{\mathbf{1}}{{{\mathbf{x}}^{\mathbf{2}}}} \right)\left( {{\mathbf{x}}^{\mathbf{4}}}\mathbf{+}\frac{\mathbf{1}}{{{\mathbf{x}}^{\mathbf{4}}}} \right)\]is |
| A. | \[\left( {{x}^{8}}-\frac{1}{{{x}^{8}}} \right)\] |
| B. | \[\left( {{x}^{4}}-\frac{1}{{{x}^{4}}} \right)\] |
| C. | \[\left( {{x}^{2}}-\frac{1}{{{x}^{2}}} \right)\] |
| D. | \[\left( {{x}^{8}}+\frac{1}{{{x}^{8}}} \right)\] |
| Answer» B. \[\left( {{x}^{4}}-\frac{1}{{{x}^{4}}} \right)\] | |
| 488. |
Find the value of 'a' if the polynomials\[2{{x}^{3}}+a{{x}^{2}}+3x-5\]and\[{{x}^{3}}+{{x}^{2}}-4x-a\] leave the same remainder when divided by\[x-1\]. |
| A. | \[a=1\] |
| B. | \[a=-1\] |
| C. | \[a=2\] |
| D. | \[a=-2\] |
| Answer» C. \[a=2\] | |
| 489. |
If\[{{x}^{\frac{1}{3}}}+{{y}^{\frac{1}{3}}}+{{z}^{\frac{1}{3}}}=0\], which of the following is true? |
| A. | \[{{x}^{3}}+{{y}^{3}}+{{z}^{3}}=0\] |
| B. | \[x+y+z=27xyz\] |
| C. | \[{{(x+y+z)}^{3}}=27xyz\] |
| D. | \[{{x}^{3}}+{{y}^{3}}+{{z}^{3}}=27xyz\] |
| Answer» D. \[{{x}^{3}}+{{y}^{3}}+{{z}^{3}}=27xyz\] | |
| 490. |
Study the given statements. Statement I: \[\frac{{{({{a}^{2}}-{{b}^{2}})}^{3}}+{{({{b}^{2}}-{{c}^{2}})}^{3}}+{{({{c}^{2}}-{{a}^{2}})}^{3}}}{{{(a+b)}^{3}}{{(b+c)}^{3}}+{{(c+a)}^{3}}}\] Statement II: \[{{a}^{2}}+{{b}^{2}}+{{c}^{2}}-ab-bc-ca\] \[=\frac{1}{2}\left[ {{(a-b)}^{2}}+{{(b-c)}^{2}}+{{(c-a)}^{2}} \right]\] Which of the following options holds? |
| A. | Both Statement-I and Statement-II are true. |
| B. | Statement-I is true but Statement-II is false. |
| C. | Statement-I is false but Statement-II is true. |
| D. | Both Statement-I and Statement-II are false. |
| Answer» D. Both Statement-I and Statement-II are false. | |
| 491. |
Find the zero of the polynomial\[f(x)=qx,\,\,q\ne 0\]. |
| A. | \[1\] |
| B. | \[b\] |
| C. | \[0\] |
| D. | \[-1\] |
| Answer» D. \[-1\] | |
| 492. |
Match the following. Column - I Column - II (p) If\[f(x)={{x}^{3}}-6{{x}^{2}}+11x-6,\] then \[f(-1)=\_\_\_.\] (i) \[-210\] (q) If \[f(x)=2{{x}^{3}}-13{{x}^{2}}+17x+12,\]then \[f(-3)=\_\_\_\_.\] (ii) 1 (r) if \[x=\frac{4}{3}\]is a root of \[f(x)=6{{x}^{3}}-11{{x}^{2}}+kx-20,\]then \[k=\_\_\_\_.\] (iii) \[-24\] (s) If \[x=-1\]is a root of \[f(x)={{x}^{100}}+2{{x}^{99}}+k,\]then \[k=\_\_\_.\] (iv) 19 |
| A. | \[(p)\to (iii);(q)\to (iv);(r)\to (i);(s)\to (ii)\] |
| B. | \[(p)\to (ii);(q)\to (iv);(r)\to (i);(s)\to (iii)\] |
| C. | \[(p)\to (iii);(q)\to (i);(r)\to (iv);(s)\to (ii)\] |
| D. | \[(p)\to (iii);(q)\to (ii);(r)\to (i);(s)\to (iv)\] |
| Answer» D. \[(p)\to (iii);(q)\to (ii);(r)\to (i);(s)\to (iv)\] | |
| 493. |
Find the value of\[{{(x-a)}^{3}}+{{(x-b)}^{3}}+{{(x-c)}^{3}}\]\[-3(x-a)(x-b)(x-c)\]when\[a+b+c=3x\]. |
| A. | \[3\] |
| B. | \[2\] |
| C. | \[1\] |
| D. | \[0\] |
| Answer» E. | |
| 494. |
The factors of the expression \[{{\mathbf{x}}^{\mathbf{2}}}\text{-}\frac{{{y}^{2}}}{100}\]is |
| A. | \[\left( x-\frac{y}{10} \right)\left( x-\frac{y}{10} \right)\] |
| B. | \[\left( x+\frac{y}{10} \right)\left( x+\frac{y}{10} \right)\] |
| C. | \[\left( y+\frac{x}{10} \right)\left( y+\frac{x}{10} \right)\] |
| D. | \[\left( x+\frac{y}{10} \right)\left( x-\frac{y}{10} \right)\] |
| Answer» E. | |
| 495. |
If\[p=(2-a)\], what is\[{{a}^{3}}+6ap+{{p}^{3}}-8\]? |
| A. | \[1\] |
| B. | \[0\] |
| C. | \[2\] |
| D. | \[3\] |
| Answer» C. \[2\] | |
| 496. |
The factorization of \[\mathbf{4}{{\mathbf{a}}^{\mathbf{2}}}-\mathbf{4a}+\mathbf{1}\] is |
| A. | \[\left( 2a-1 \right)\left( 2a+1 \right)\] |
| B. | \[\left( 2a-1 \right)\left( 1-2a \right)\] |
| C. | \[\left( 2a+1 \right)\left( 2a+1 \right)\] |
| D. | \[\left( 2a- \right)\left( 2a-1 \right)\] |
| Answer» E. | |
| 497. |
If \[{{(5{{x}^{2}}+14x+2)}^{2}}-{{(4{{x}^{2}}-5x+7)}^{2}}\]is divided by \[({{x}^{2}}+x+1),\] then quotient 'q' and remainder '/-' respectively, are ____. |
| A. | \[({{x}^{2}}+19x-5),0\] |
| B. | \[9({{x}^{2}}+19x-5),0\] |
| C. | \[({{x}^{2}}+19x-5),1\] |
| D. | \[9({{x}^{2}}+19x-5),1\] |
| Answer» C. \[({{x}^{2}}+19x-5),1\] | |
| 498. |
Factorise\[{{a}^{2x}}-{{b}^{2x}}\]. |
| A. | \[({{a}^{x}}+{{b}^{x}})({{a}^{x}}-{{b}^{x}})\] |
| B. | \[{{({{a}^{x}}-{{b}^{x}})}^{2}}\] |
| C. | \[({{a}^{x}}+{{b}^{x}})({{a}^{2}}-{{b}^{2}})\] |
| D. | \[({{a}^{x}}-{{b}^{x}})({{a}^{2}}+{{b}^{2}})\] |
| Answer» B. \[{{({{a}^{x}}-{{b}^{x}})}^{2}}\] | |
| 499. |
If\[\left( x+\frac{1}{x} \right)=4,\]then\[\left( x-\frac{1}{x} \right)\]is |
| A. | \[2\sqrt{2}\] |
| B. | \[\sqrt{6}\] |
| C. | \[2\sqrt{3}\] |
| D. | \[3\sqrt{2}\] |
| Answer» D. \[3\sqrt{2}\] | |
| 500. |
Express \[x-8x{{y}^{3}}\] as product of factors. |
| A. | \[x(1-2y)(1+2y+4{{y}^{2}})\] |
| B. | \[x(1+2y)(1+2y+4{{y}^{2}})\] |
| C. | \[x(1-2y)(1-2y+4{{y}^{2}})\] |
| D. | \[x(1+2y)(1-2y+4{{y}^{2}})\] |
| Answer» B. \[x(1+2y)(1+2y+4{{y}^{2}})\] | |