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83 views10 pagesMaths Activity X
Maths research
Rs Aggrawal
Uploaded by
mishra822117Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF or read online on Scribd
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momfhctiviti
Ossective
To find the HCF of two numbers
experimentally based on Euclid
Division Lemma.
MEtHOp oF ConstRUCTION
Mareriat Requirep
Cardboard sheets, glazed papers of
different colours, scissors, ruler,
sketch pen, glue ete.
1. Cut out one strip of length a units, one strip of length b units (b
Fig. 6
<< e units —— e units —>
Fig. 7
<—e units —> << duit
e niis>
€e units
Fig. 8 Fig. 9
DEMONSTRATION
As per Euclid Division Lemma,
Fig. 6 depicts a= bx 1+e(q=1,r=0) a
Fig. 7 depicts b= cx 2+d(q=2,r=d) (2)
Fig.8 depicts c =d x 1 + e(q=1,r=e) GB)
and Fig. 9 depicts
=ex2+0(q=
,r=0) (4)
Laboratory As per assumptions in Euclid Division Algorithm,
HCF of a and b = HCF of b and e
= HCF of c and d= HCF of d and e
‘The HCF of d and e is equal to e, from (4) above.
So, HCF of a and b
OBSERVATION
On actual measurement (in mm)
a
So, HCF of and =
APPLICATION
The process depicted can be used for finding the HCF of two or more numbers,
which is known as finding HCF of numbers by Division Method. Activity 2
Osyective
To draw the graph of a quadratic
polynomial and observe:
Marerian REQUIRED:
Cardboard, graph paper, ruler,
pencil, eraser, pen, adhesive.
(i) The shape of the curve when the
coefficient of 2° is positive.
(ii) The shape of the curve when the
coefficient of x° is negative.
(ii) Its number of zeroes.
Mernop oF Construction
1, Take cardboard of a convenient size and paste a graph paper on it.
2. Consider a quadratic polynomial f (x) = ax? + bx +c
3. Two cases arise:
8 Laboratory Manual @a>0 (ia