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2. Relation and Function ગણિત - 2. Relation and Function

Gujarat Board (GSEB) - ધોરણ 11 સાયન્સ - ગણિત (ગુજરાતી માધ્યમ). 148 questions in this chapter.

Question types

2. Relation and Function question types

148 questions across 1 question group — pick any mix to generate a ગણિત paper with step-by-step answer keys.

148
Questions
1
Question groups
5
Question types
Sample Questions

2. Relation and Function questions

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

Q 1MCQ1 Mark
જો $A, B, C$ એ એવા ત્રણ ગણ છે કે જેથી $n(A \cap  B) = n(B \cap  C) = n(C \cap  A) = n(A \cap  B \cap  C) = 2$ થાય તો $n((A × B) \cap  (B × C)) $ = 
  • A
    $0$
  • B
    $1$
  • C
    $2$
  • D
    $4$
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Q 2MCQ1 Mark
જો $f(x) = \cos [{\pi ^2}]x + \cos [ - {\pi ^2}]x$, તો
  • A
    $f\left( {\frac{\pi }{4}} \right) = 2$
  • B
    $f( - \pi ) = 2$
  • C
    $f(\pi ) = 1$
  • ✓
    $f\left( {\frac{\pi }{2}} \right) = - 1$

Answer: D.

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Q 3MCQ1 Mark
વિધેય $f(x) = {\left[ {{{\log }_{10}}\left( {\frac{{5x - {x^2}}}{4}} \right)} \right]^{1/2}}$ નો પ્રદેશ મેળવો.
  • A
    $ - \infty < x < \infty $
  • ✓
    $1 \le x \le 4$
  • C
    $4 \le x \le 16$
  • D
    $ - 1 \le x \le 1$

Answer: B.

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Q 4MCQ1 Mark
વિધેય $f(x) = {\log _{3 + x}}({x^2} - 1)$ નો પ્રદેશ મેળવો.
  • A
    $( - 3,\; - 1) \cup (1,\;\infty )$
  • B
    $[ - 3,\; - 1) \cup [1,\;\infty )$
  • ✓
    $( - 3,\; - 2) \cup ( - 2,\; - 1) \cup (1,\;\infty )$
  • D
    $[ - 3,\; - 2) \cup ( - 2,\; - 1) \cup [1,\;\infty )$

Answer: C.

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Q 5MCQ1 Mark
$f(x) = \sqrt {2 - 2x - {x^2}} $ નો પ્રદેશ મેળવો.
  • A
    $ - \sqrt 3 \le x \le \sqrt 3 $
  • ✓
    $ - 1 - \sqrt 3 \le x \le - 1 + \sqrt 3 $
  • C
    $ - 2 \le x \le 2$
  • D
    $ - 2 + \sqrt 3 \le x \le - 2 - \sqrt 3 $

Answer: B.

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