Question types

Expansions question types

281 questions across 6 question groups — pick any mix to generate a MATHEMATICS paper with step-by-step answer keys.

281
Questions
6
Question groups
5
Question types
Sample Questions

Expansions questions

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

Assertion (A): $(26)^3+(-15)^3+(-11)^3=3 \times 26 \times 15 \times 11$
Reason (R): If $x+y+z=0$, then $x^3+y^3+z^3=3 x y z$
  • A
    A is true, R is false
  • B
    A is false, R is true
  • Both A and R are true
  • D
    Both A and R are false.

Answer: C.

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Q 17MCQ1 Mark
$\frac{a}{b}+\frac{b}{a}=-1,(a, b \neq 0)$, then the value of $a^3-b^3$ is :
  • A
    $\frac{1}{2}$
  • B
    1
  • C
    -1
  • 0

Answer: D.

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Q 18MCQ1 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 :
  • A
    0
  • B
    1
  • 3
  • D
    abc

Answer: C.

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Q 20MCQ1 Mark
The value of $(-28)^3+(18)^3+10^3$ is (solve without calculating the cubes):
  • A
    15120
  • -15120
  • C
    -5040
  • D
    none of these

Answer: B.

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Q 21MCQ1 Mark
Assertion (A) : $(1-3 x)^3$ can be expanded as $1-27 x^3-9 x-27 x^2$.
Reason (R) : $(a-b)^3=a^3-b^3-3 a b(a-b)$
  • A
    A is true, R is false
  • A is false, R is true
  • C
    Both A and R are true
  • D
    Both A and R are false.

Answer: B.

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