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CBSE Class 11-science Answered

For each natural number k, let  denotes the circle with radius k centemeters and center atorigin. On the circle , a particle moves k centimeters in the counter clockwise direction. After completing its motion on the particle moves to +1 in the radial direction. The motionof the particle continues in this manner. The particle starts at (1,0). If the particle crosses the positive direction of the x-axis for the first time on the circle  then n=....
Asked by Sunil Soni | 21 Sep, 2015, 11:57: PM
answered-by-expert Expert Answer
T h e space m o t i o n space o f space t h e space p a r t i c l e space i s space s h o w n space i n space t h e space f i g u r e space a b o v e. space I t space s t a r t s space f r o m space p o i n t space left parenthesis 1 comma space 0 right parenthesis space a n d space m o v e s space i n space a n t i space c l o c k w i s e space d i r e c t i o n space a l o n g space t h e space c i r c l e space o f space r a d i u s space 1 space a space d i s tan c e space o f space 1. H e n c e comma space t h e space a n g l e space s u b t e n d e d space b y space t h e space p a r t i c l e space a t space t h e space c e n t e r equals 1 over 1 equals 1 to the power of c S i m i l a r l y comma space w h e n space t h e space p a r t i c l e space m o v e s space i n space t h e space s e c o n d space c i r c l e space o f space r a d i u s space 2 comma a n g l e space s u b t e n d e d space a t space t h e space c e n t e r space i s space 2 over 2 equals 1 to the power of c. H e n c e comma space w h i l e space m o v i n g space i n space e v e r y space c i r c l e comma space t h e space p a r t i c l e space s u b t e n d s space a n space a n g l e space o f space 1 to the power of c space a t space t h e space c e n t e r. T o space c r o s s space X minus a x i s space f o r space t h e space f i r s t space t i m e comma space t h e space p a r t i c l e space m u s t space c r o s s space 2 pi to the power of c space a n g u l a r space d i s tan c e space a t space c e n t e r. 2 pi almost equal to 6.28. H e n c e comma space t h e space p a r t i c l e space c o m p l e t e s space t r a v e l l i n g space a l o n g space 6 space c i r c l e s space b e f o r e space c r o s sin g space X minus a x i s. H e n c e comma space w h i l e space t h e space p a r t i c l e space i s space t r a v e l l i n g space a l o n g space t h e space c i r c l e space o f space r a d i u s space 7 comma space i t space w i l l space c r o s s space X minus a x i s. H e n c e comma space r a d i u s space o f space t h e space c i r c l e space k equals 7 comma space w h e n space t h e space p a r t i c l e space c r o s s e s space X minus a x i s. left parenthesis n space i s space n o t space s p e c i f i e d space i n space t h e space q u e s t i o n. space A s s u m i n g space t h a t space w e space n e e d space t o space f i n d space t h e space v a l u e space o f space apostrophe k apostrophe space f o r space w h i c h space t h e space p a r t i c l e space c r o s s e s space X minus a x i s. space right parenthesis
Answered by satyajit samal | 22 Sep, 2015, 01:30: PM

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CBSE 11-science - Maths
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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
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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.
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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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