sir.pls represent root 5 on a number line using both the methods.
     1. spiral method
      2. the semi circle method.
 
sir,which method is advisable to follow during exams.

Asked by deepa1973 | 18th Jun, 2014, 09:24: PM

Expert Answer:

S e m i minus c i r c l e space m e t h o d : L e t space u s space f o l l o w space t h e space b e l o w space s t e p s. S t e p space 1 : space D r a w space a space l i n e space a n d space m a r k space a space p o i n t space A space o n space i t S t e p space 2 : space M a r k space a space p o i n t space B space o n space t h e space l i n e space s u c h space t h a t space A B equals 5 space u n i t s. S t e p space 3 : space F r o m space t h e space p o i n space B space m a r k space a space d i s tan c e space o f space 1 space u n i t space a n d space m a r k space t h e space n e w space p o i n t space a s space C S t e p space 4 : space F i n d space t h e space m i d p o i n t space o f space A C space a n d space m a r k space t h e space p o i n t space a s space O. S t e p space 5 : space D r a w space a space c i r c l e space w i t h space c e n t r e space O space a n d space r a d i u s space O C equals fraction numerator 5 plus 1 over denominator 2 end fraction equals 3 space u n i t s S t e p space 6 : space D r a w space a space l i n e space p e r p e n d i c u l a r space t o space A C space p a s sin g space t h r o u g h space B space a n d space i n t e r s e c t i n g space t h e space s e m i space c i r c l e space a t space D S t e p space 7 : space T a k i n g space B space a s space t h e space c e n t r e space a n d space B D space a s space r a d i u s space d r a w space a n space a r c space c u t t i n g space O C space p r o d u c e d space a t space E T h u s comma space B D equals B E equals square root of 5 space u n i t s
S p i r a l space M e t h o d : S t e p space 1 : T a k e space a space p o i n t space O space a n d space d r a w space O A space o f space u n i t space l e n g t h. S t e p space 2 : space D r a w space A B space o f space u n i t space l e n g t h space p e r p e n d i c u l a r space t o space O A. S t e p space 3 : space D r a w space B C space o f space u n i t space l e n g t h space p e r p e n d i c u l a r space t o space O B. S t e p space 4 : space D r a w space C D space o f space u n i t space l e n g t h space p e r p e n d i c u l a r space t o space O C. S t e p space 5 : space space D r a w space D E space o f space u n i t space l e n g t h space p e r p e n d i c u l a r space t o space O D. S t e p space 6 : space space D r a w space E F space o f space u n i t space l e n g t h space p e r p e n d i c u l a r space t o space O E. T h u s comma space O E space r e p r e s e n t s space square root of 5 T h a t space i s space O E equals square root of 5

Answered by Vimala Ramamurthy | 19th Jun, 2014, 11:58: AM