7/29/2019 Maths Project 2012 -By Simardeep (IX - B)

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7/29/2019 Maths Project 2012 -By Simardeep (IX - B)

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We draw a number line and mark the integers 2, 1, 0, 1, 2, 3, 4,etc. on it, so that the distance between any two consecutiveintegers is one unit.On this number line, we mark O and A at the points 0 and 2respectively.At A, we draw AB of unit length which is perpendicular to OA andnow, we join OB.Taking O as the centre and OB as the radius, we will draw an arcwhich cuts the number line at P.

7/29/2019 Maths Project 2012 -By Simardeep (IX - B)

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Now, point P represents the irrational number on the number line. Let us

verify it.

Using Pythagoras theorem in OAB,

OB2 = OA2 + AB2

= 22 + 12

= 4 + 1

= 5

But OP = OB

7/29/2019 Maths Project 2012 -By Simardeep (IX - B)

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Draw a number line (l) and mark the points O, A, B and Csuch that OA = AB = BC = 1Draw CD l, such that CD = 1 units.Join OCIn right OCD,

OD

2

= OC

2

+ CD

2

l

7/29/2019 Maths Project 2012 -By Simardeep (IX - B)

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Taking O as centre and D as radius, draw an arc whichcuts lin F

Now, draw EF l, such that EF = 1 units

Join OE 'In right OEF,OE2 = OF2 + EF2

Taking O as centre and OE as radius, draw an arc which cuts lin H

Now, draw GH l, such that GH = 1 unitsJoin OGIn right OGH,

7/29/2019 Maths Project 2012 -By Simardeep (IX - B)

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Taking O as centre and OG as radius, draw an arc which cuts lin J.

Now, draw IJ l, such that IJ = 1 unitsJoin OI,In right OIJ,

7/29/2019 Maths Project 2012 -By Simardeep (IX - B)

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Taking O as centre and OI as radius, draw an arc which cuts lin L.

The point L represents on the number line.

7/29/2019 Maths Project 2012 -By Simardeep (IX - B)

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Draw a number line (l) and mark the points O, A, B and Csuch that OA = AB = BC = 1Draw CD l, such that CD = 1 units.Join OCIn right OCD,

OD2 = OC2 + CD2

l

7/29/2019 Maths Project 2012 -By Simardeep (IX - B)

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Taking O as centre and D as radius, draw an arc whichcuts lin F

Now, draw EF l, such that EF = 1 unitsJoin OE 'In right OEF,OE2 = OF2 + EF2

Taking O as centre and OE as radius, draw an arc which cuts lin H

Now, draw GH l, such that GH = 1 unitsJoin OGIn right OGH,

7/29/2019 Maths Project 2012 -By Simardeep (IX - B)

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Taking O as centre and OG as radius, draw an arc which cuts lin J.

Now, draw IJ l, such that IJ = 1 unitsJoin OI,In right OIJ,

7/29/2019 Maths Project 2012 -By Simardeep (IX - B)

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Taking O as centre and OI as radius, draw an arc which cuts lin L.

Now, draw KL

l, such that KL = 1 unitsJoin OK,

In right OKL,

Taking O as centre and OK as radius, draw an arc which cuts lin M.

The point M represents on the number line.

7/29/2019 Maths Project 2012 -By Simardeep (IX - B)

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Mark a line segment OB = 9.2 on number line.

Further, take BC of 1 unit.

Find the mid-point D of OC and draw a semi-circle on OC while taking D as its

centre.

Draw a perpendicular to line OC passing through point B.Let it intersect the semi-circle at E.

Taking B as centre and BE as radius, draw an arc intersecting number line at

F.

BF is .

7/29/2019 Maths Project 2012 -By Simardeep (IX - B)

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Mark a line segment OB = 7.4 on number line.

Further, take BC of 1 unit.

Find the mid-point D of OC and draw a semi-circle on OC while taking D as its

centre.

Draw a perpendicular to line OC passing through point B.Let it intersect the semi-circle at E.

Taking B as centre and BE as radius, draw an arc intersecting number line at

F.

BF is .

7/29/2019 Maths Project 2012 -By Simardeep (IX - B)

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7/29/2019 Maths Project 2012 -By Simardeep (IX - B)

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