MCQ 11 Mark
$\frac{a}{b}+\frac{b}{a}=-1,(a, b \neq 0)$, then the value of $a^3-b^3$ is :
View full question & answer→MCQ 21 Mark
If $a+b+c=0$, then $\frac{(a+b)^2}{a b}+\frac{(b+c)^2}{b c}+\frac{(c+a)^2}{a c}$ is equal to :
View full question & answer→MCQ 31 Mark
If $x+y=-4$, the value of $x^3+y^3-12 x y+64$ is :
View full question & answer→MCQ 41 Mark
The value of $(-28)^3+(18)^3+10^3$ is (solve without calculating the cubes):
View full question & answer→MCQ 51 Mark
Assertion (A) : $(1-3 x)^3$ can be expanded as $1-27 x^3-9 x-27 x^2$.
Reason (R) : $(a-b)^3=a^3-b^3-3 a b(a-b)$
View full question & answer→MCQ 61 Mark
Assertion (A) : If $x^2-2 x-1=0$, then $x^2+\frac{1}{x^2}=6$.
Reason (R) : $x^2-2 x-1$ can be written as $(x-1)^2$.
View full question & answer→MCQ 71 Mark
Assertion (A) : $(26)^3+(-15)^3+(-11)^3=3 \quad 26 \quad 15 \quad 11$
Reason (R): If $x+y+z=0$, then $x^3+y^3+z^3=3 x y z$
View full question & answer→MCQ 81 Mark
If $a \quad b+c=6$ and $a^2+b^2+c^2=38$, then the value of $a b+b c-c a$ is :
View full question & answer→MCQ 91 Mark
If $l+m \quad n=9$ and $l^2+m^2+n^2=31$, then the value of $m n+n l-l m$ is :
View full question & answer→MCQ 101 Mark
The value of $a b$ if $3 a+5 b=15$ and $9 a^2+25 b^2=75$, is :
View full question & answer→MCQ 111 Mark
If $\left(x+\frac{1}{x}\right)^2=3$, then $x^3+\frac{1}{x^3}=$
View full question & answer→MCQ 121 Mark
$2.51 \quad 2.51+1.31 \quad 1.31 \quad 2.62 \quad 2.51=$
View full question & answer→MCQ 131 Mark
If $a=\frac{1}{a-7}$, then $a \quad \frac{1}{a}=$
View full question & answer→MCQ 141 Mark
If $p+\frac{1}{p}=x$ and $p \quad \frac{1}{p}=y$, then the relation between $x$ and $y$ is :
- A
$x^2=y^2$
- B
$x^2+y^2=4$
- ✓
$x^2 \quad y^2=4$
- D
$x y=2$
AnswerCorrect option: C. $x^2 \quad y^2=4$
View full question & answer→MCQ 151 Mark
If $\frac{a}{b}+\frac{b}{a}=1(a, b \quad 0)$, then $a^3+b^3=$
View full question & answer→MCQ 161 Mark
If $x+y+z=0$, then $x^3+y^3+z^3=$
View full question & answer→MCQ 171 Mark
If $a^2-\frac{1}{a^2}=7$, then $a^4+\frac{1}{a^4}=$
View full question & answer→MCQ 181 Mark
If $y+\frac{1}{y}=2$, then $y^5+\frac{1}{y^5}=$
View full question & answer→MCQ 191 Mark
If $x+\frac{1}{x}=5$, then $x \quad \frac{1}{x}=$
- ✓
$\pm \sqrt{21}$
- B
$\pm \sqrt{29}$
- C
$\pm 3$
- D
$\pm 2$
AnswerCorrect option: A. $\pm \sqrt{21}$
View full question & answer→MCQ 201 Mark
If $p+\frac{1}{p}=\frac{5}{2}$, then $p^2+\frac{1}{p^2}=$
- A
$\frac{25}{4}$
- B
$\frac{19}{4}$
- C
$\frac{9}{4}$
- ✓
$\frac{17}{4}$
AnswerCorrect option: D. $\frac{17}{4}$
View full question & answer→MCQ 211 Mark
If $a+b=16$ and $a \quad b=2$, then $a b=$
View full question & answer→MCQ 221 Mark
If $a+b=12$ and $a b=35$, then $(a \quad b)^2=$
View full question & answer→MCQ 231 Mark
If $a-b+c=6$ and $a^2+b^2+c^2=38$, then the value of $a b+b c-c a$ is :
View full question & answer→MCQ 241 Mark
If $l+m-n=9$ and $l^2+m^2+n^2=31$, then the value of $m n+n l-l m$ is :
View full question & answer→MCQ 251 Mark
The value of $a b$ if $3 a+5 b=15$ and $9 a^2+25 b^2=75$, is :
View full question & answer→MCQ 261 Mark
If $\left(x+\frac{1}{x}\right)^2=3$, then $x^3+\frac{1}{x^3}=$
View full question & answer→MCQ 271 Mark
$2.51 \times 2.51+1.31 \times 1.31-2.62 \times 2.51=$
View full question & answer→MCQ 281 Mark
If $a=\frac{1}{a-7}$, then $a-\frac{1}{a}=$
View full question & answer→MCQ 291 Mark
If $p+\frac{1}{p}=x$ and $p-\frac{1}{p}=y$, then the relation between $x$ and $y$ is :
- A
$x^2=y^2$
- B
$x^2+y^2=4$
- ✓
$x^2-y^2=4$
- D
$x y=2$
AnswerCorrect option: C. $x^2-y^2=4$
View full question & answer→MCQ 301 Mark
If $\frac{a}{b}+\frac{b}{a}=1(a, b \neq 0)$, then $a^3+b^3=$
View full question & answer→MCQ 311 Mark
If $x+y+z=0$, then $x^3+y^3+z^3=$
View full question & answer→MCQ 321 Mark
If $a^2-\frac{1}{a^2}=7$, then $a^4+\frac{1}{a^4}=$
View full question & answer→MCQ 331 Mark
If $y+\frac{1}{y}=2$, then $y^5+\frac{1}{y^5}=$
View full question & answer→MCQ 341 Mark
If $x+\frac{1}{x}=5$, then $x-\frac{1}{x}=$
- ✓
$\pm \sqrt{21}$
- B
$\pm \sqrt{29}$
- C
$\pm 3$
- D
$\pm 2$
AnswerCorrect option: A. $\pm \sqrt{21}$
View full question & answer→MCQ 351 Mark
If $p+\frac{1}{p}=\frac{5}{2}$, then $p^2+\frac{1}{p^2}=$
- A
$\frac{25}{4}$
- B
$\frac{19}{4}$
- C
$\frac{9}{4}$
- ✓
$\frac{17}{4}$
AnswerCorrect option: D. $\frac{17}{4}$
View full question & answer→MCQ 361 Mark
If $a+b=16$ and $a-b=2$, then $a b=$
View full question & answer→MCQ 371 Mark
If $a+b=12$ and $a b=35$, then $(a-b)^2=$
View full question & answer→MCQ 381 Mark
Assertion (A) : $(1-3 x)^2$ can be expanded as $1-27 x^3-9 x-27 x^2$.
Reason (R) : $(a-b)^3=a^3-b^3-3 a b(a-b)$
View full question & answer→MCQ 391 Mark
Assertion (A) : If $x^2-2 x-1=0$, then $x^2+\frac{1}{x^2}=6$.
Reason (R) : $x^2-2 x-1$ can be written as $(x-1)^2$.
View full question & answer→MCQ 401 Mark
Assertion (A): $(26)^3+(-15)^3+(-11)^3=3 \times 26 \times 15 \times 11$
Reason (R): If $x+y+z=0$, then $x^3+y^3+z^3=3 x y z$
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