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Relations and F...

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  • Question 1
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    Let $$x$$ be a real number $$\left [ x \right ]$$ denotes the greatest integer function, and $$\left \{ x \right \}$$ denotes the fractional part and $$(x)$$ denotes the least integer function,then solve the following.
    $$\left [ 2x \right ]-2x=\left [ x+1 \right ]$$

  • Question 2
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    If $$A=\left \{x:x^2-3x+2=0\right \}$$ and $$B=\left \{x:x^2+4x-5=0\right \}$$ then the value of A-B is

  • Question 3
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    If R={$$(x,y)/3x+2y=15$$ and x,y $$\displaystyle \epsilon $$ N}, the range of the relation R is________

  • Question 4
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    If $$x$$ co-ordinate of a point is $$2$$ and $$y$$ co-ordinate is $$0$$, then ordered pair for its coordinate on $$XY$$ plane is

  • Question 5
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    If $$(x+3, 4-y)=(1,7)$$, then $$(x-3, 4+y)$$ is equal to

  • Question 6
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    An operation $$\displaystyle \theta $$ is defined by the equation
    $$\displaystyle a\theta b=\frac { a-b }{ a+b } $$, for all numbers a and b such that $$\displaystyle a\neq -b$$. If  $$\displaystyle a\neq -c$$ and $$\displaystyle a\ \theta\  c = 0$$, then find the value of c.

  • Question 7
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    Let $$R$$ be the relation in the set $$N$$ given by $$R=\left\{(a, b): a=b-2, b>6\right\}$$. Choose the correct answer.

  • Question 8
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    If ordered pair $$(a, b)$$ is given as $$(-2, 0)$$, then $$a =$$

  • Question 9
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    What are the ways of representing a relation?

  • Question 10
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    If $$x$$ and $$y$$ coordinate of a point is $$(3, 10)$$, then the $$x$$ co-ordinate is

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