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Algebraic Identities Maths - Algebraic Identities

Jharkhand Board (JAC) - STD 9 - Maths (Jharkhand - English Medium). 208 questions in this chapter.

Question types

Algebraic Identities question types

208 questions across 5 question groups — pick any mix to generate a Maths paper with step-by-step answer keys.

208
Questions
5
Question groups
5
Question types
Sample Questions

Algebraic Identities questions

One sample from each question group in this chapter. Select any group above to see the full set with answer keys.

Q 1M.C.Q1 Mark
If $\text{x}+\frac{1}{\text{x}}=3,$ then $\text{x}^6+\frac{1}{\text{x}^6}=$
  • A
    $927$
  • B
    $414$
  • C
    $364$
  • ✓
    $322$

Answer: D.

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Q 2M.C.Q1 Mark
If $49\text{a}^2-{\text{b}}=\Big(7\text{a}+\frac{1}{2}\Big)\Big(7\text{a}-\frac{1}{2}\Big),$ then the value of $b$ is:
  • A
    $0$
  • ✓
    $\frac{1}{4}$
  • C
    $\frac{1}{\sqrt2}$
  • D
    $\frac{1}{2}$

Answer: B.

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Q 3M.C.Q1 Mark
$(\mathrm{a}-\mathrm{b})^3+(\mathrm{b}-\mathrm{c})^3+(\mathrm{c}-\mathrm{a})^3=$
  • A
    $(a+b+c)\left(a^2+b^2+c^2-a b-b c-c a\right)$
  • B
    $(a-b)(b-c)(c-a)$
  • ✓
    $3(a-b)(b-c)(c-a)$
  • D
    None of these.

Answer: C.

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Q 4M.C.Q1 Mark
If $a + b + c = 0$, then $\frac{\text{a}^2}{\text{bc}}+\frac{\text{b}^2}{\text{ca}}+\frac{\text{c}^2}{\text{ab}}=$
  • A
    $0$
  • B
    $1$
  • C
    $-1$
  • ✓
    $3$

Answer: D.

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Q 5M.C.Q1 Mark
If $\mathrm{a}-\mathrm{b}=-8$ and $\mathrm{ab}=-12$, then $\mathrm{a}^3-\mathrm{b}^3=$
  • A
    $-244$
  • B
    $-240$
  • ✓
    $-224$
  • D
    $-260$

Answer: C.

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Q 185 Marks Questions5 Marks
Simplify the following expressions: $\big(\text{x}+\text{y}+\text{z}\big)^2+\Big(\text{x}+\frac{\text{y}}{2}+\frac{\text{z}}{3}\Big)^2-\Big(\frac{\text{x}}{2}+\frac{\text{y}}{3}+\frac{\text{z}}{4}\Big)^2$
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Q 205 Marks Questions5 Marks
If $\text{x}+\frac{1}{\text{x}}=3,$ calculate $\text{x}^2+\frac{1}{\text{x}^2},\ \text{x}^3+\frac{1}{\text{x}^3}$ and $\text{x}^4+\frac{1}{\text{x}^4}.$
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