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CBSE Class 11-science Answered

plz gv me some other interesting maths exhibition projects related to 11 and 12 th grade
Asked by archana | 05 Dec, 2015, 10:45: PM
answered-by-expert Expert Answer
U sin g space b i n o m i a l space T h e o r e m comma space w e space c a n space f i n d space t h e space v a l u e space o f space 2 to the power of 1000. W e space n e e d space t o space c o d e space a space p r o g r a m space i n space t h e space c o m p u t e r space t o space f i n d space t h e space v a l u e space o f space 2 to the power of 1000. 2 space c a n space b e space w r i t t e n space a s comma space 2 equals 1 plus 1 T a k i n g space t h e space p o w e r space t o space 1000 space o n space b o t h space t h e space s i d e s comma space w e space h a v e comma 2 to the power of 1000 equals open parentheses 1 plus 1 close parentheses to the power of 1000 B i n o m i a l space T h e o r e m space s t a t e s space t h a t comma I f space x space a n d space a space a r e space r e a l space n u m b e r s comma space t h e n space f o r space a l l space n element of N comma open parentheses x plus a close parentheses to the power of n equals C presuperscript n subscript 0 x to the power of n a to the power of 0 plus C presuperscript n subscript 1 x to the power of n minus 1 end exponent a to the power of 1 plus C presuperscript n subscript 2 x to the power of n minus 2 end exponent a squared plus C presuperscript n subscript 3 x to the power of n minus 3 end exponent a cubed plus... plus C presuperscript n subscript r x to the power of n minus r end exponent a to the power of r plus... plus C presuperscript n subscript n minus 1 end subscript x to the power of 1 a to the power of n minus 1 end exponent plus C presuperscript n subscript n x to the power of 0 a to the power of n T h u s comma space a p p l y i n g space b i n o m i a l space t o space t h e space e x p r e s s i o n comma space comma space w e space h a v e comma open parentheses 1 plus 1 close parentheses to the power of 1000 equals C presuperscript 1000 subscript 0 cross times 1 to the power of 10000 cross times 1 to the power of 0 plus C presuperscript 1000 subscript 1 cross times 1 to the power of 999 cross times 1 to the power of 1 plus C presuperscript 1000 subscript 2 cross times 1 to the power of 998 cross times 1 squared plus C presuperscript 1000 subscript 3 cross times 1 to the power of 997 cross times 1 cubed space space space space space space space space space space space space space space space space space space space space space plus... plus C presuperscript 1000 subscript r cross times 1 to the power of n minus r end exponent cross times 1 to the power of r plus... plus C presuperscript 1000 subscript 999 cross times 1 to the power of 1 cross times 1 to the power of 999 plus C presuperscript 1000 subscript 1000 cross times 1 to the power of 0 cross times 1 to the power of 1000 space space space space space space space space space space space space space space space space equals C presuperscript 1000 subscript 0 plus C presuperscript 1000 subscript 1 plus C presuperscript 1000 subscript 2 plus C presuperscript 1000 subscript 3 space plus... plus C presuperscript 1000 subscript r plus... plus C presuperscript 1000 subscript 999 plus 1 N o w space a d d i n g space a l l space t h e space v a l u e s space w e space g e t space 2 to the power of 1000 Answered by Vimala Ramamurthy | 07 Dec, 2015, 10:37: AM

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CBSE 11-science - Maths
2 one
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Asked by dra | 24 Feb, 2024, 06:35: AM
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CBSE 11-science - Maths
find the coordinates of the centre of a circle passing through the points(0,0),(-2,1)and(-3,2).also , find its radius .
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Asked by shakyajayprakash2006 | 08 Jun, 2022, 05:26: PM
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CBSE 11-science - Maths
Examine whether the point (4, 5) lies outside or inside the circle of equation x^2+y^2-2x-3=0
Asked by sbipo2000 | 23 Feb, 2020, 03:43: PM
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CBSE 11-science - Maths
SIR PLEASE HELP ME WITH THIS QUESTIONS : 1. Find the equation of the tangent to the circle x^2+y^2=16 drawn from the point (1,4). 2. How many triangles can be formed by joining any 3 of the 9 points when i) no 3 of them  are collinear? ii) 5 of them are collinear? 3. AB is a line of fixed length, 6 units, joining the points A(t,0) and B which lies on thepositive y axis. P is a point on AB distant 2 units from A. Express the coordinates of B and P in terms of t. Find the locus of P as t varies. 4. In a triangle ABC, (b^2 - c^2) / (b^2 + c^2) = sin(B - C) / sin(B + C), prove that it is either a right-angled or isoceles triangle.
Asked by kandappan | 08 Feb, 2020, 11:29: AM
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CBSE 11-science - Maths
6
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Asked by gauravmore604 | 04 Nov, 2019, 03:31: PM
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CBSE 11-science - Maths
The locus of point for which sum of the squares of distances from cordinate axes is 25 is
Asked by Tejravi969 | 19 Aug, 2019, 06:08: AM
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CBSE 11-science - Maths
A stadium is in circular shape. Within the stadium some areas have been allotted for a hockey court and a javelin range, as given in the figure. Assume the shape of the hockey court and the javelin range to be square and triangle, resp. The curators would like to accommodate a few more sports in the stadium. Help them by measuring the unallocated region within the stadium.(the radius of the stadium is 200 mts.)  
Asked by rushabh1234 | 23 Jan, 2019, 08:59: PM
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CBSE 11-science - Maths
Find the equation of the circle with centre (-2,3) and radius 4.
Asked by Topperlearning User | 30 Apr, 2014, 11:08: AM
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CBSE 11-science - Maths
Find the centre and radius of the circle given by the equation (x + 5)2 + (y + 1 )2 = 9
Asked by Topperlearning User | 25 Apr, 2014, 09:39: AM
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CBSE 11-science - Maths
Find the co-ordinates of the centre and the radius of the circle given by the equation x2 + y2 + 6x - 8y - 24 = 0.
Asked by Topperlearning User | 25 Apr, 2014, 09:11: AM
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