Daily Graph 20-03-09

JEE Mains 2015 Discussion Forum › Graph of the Day questions › Daily Graph 20-03-09

Draw the graph of

[x]+[y]=[x+y]

#Miscellaneous #Graph of the Day

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8 Answers

21

tapanmast Vora ·2009-03-20 02:25:40

hmmm.....

AL INTEGERS,

samr as {x} + {y} = {x+y}

so {x} + {y} < 1 always.......... SO ALL CASES wer both {x} & {y} are gr8er 0.5 and many more shall be forgtten forever

symetric abt both the axes!!! i.e abt ORIGIN

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11

virang1 Jhaveri ·2009-03-20 04:17:51

Can the graph be chunks of area since it is not a st. line

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11

Mani Pal Singh ·2009-03-20 04:31:08

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106

Asish Mahapatra ·2009-03-20 20:57:12

the graph is copy pasted after we solve it in the section x belongs to [0,1).

In [0,1) [x]=0 and x={x}

So... [y] = [{x} + [y] + {y}]
==> [y] = [y] + [{x} + {y}]
==> [{x}+{y}] = 0
==> {x} + {y} belongs to [0,1)

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106

Asish Mahapatra ·2009-03-20 22:14:53

and the sam shape in all quadrants...

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11

virang1 Jhaveri ·2009-03-20 23:30:17

No.
IS it like this

The Triangle have the same shape as you go up the graph

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11

virang1 Jhaveri ·2009-03-21 01:34:14

NIshant Bhaiyya is it rite?

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62

Lokesh Verma ·2009-03-21 01:45:53

no virang..

virang is it not symmetric in x and y?

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