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Algebraic Identities MATHS - Algebraic Identities

Rajasthan Board (RBSE) - STD 9 - MATHS (Rajasthan - English Medium). 154 questions in this chapter.

Question types

Algebraic Identities question types

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

154
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 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
$(a - b)^3 + (b - c)^3 + (c - a)^3 =$
  • A
    $(a + b + c)(a^2 + b^2 + c^2 - ab - bc - ca)$
  • 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 $\text{x}^4+\frac{1}{\text{x}^4}=623,$ then $\text{x}+\frac{1}{\text{x}}=$
  1. $27$
  2. $25$
  3. $3\sqrt3$
  4. $-3\sqrt3$
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Q 175 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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