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CBSE Class 11-science Answered

the postion of apoint in xy plane at time t is given by (ucosa.t,usina.-ptsqared)where u,a,p are constants find the equation of locus of the moving point
 
Asked by ramesh | 03 Jul, 2016, 09:19: PM
answered-by-expert Expert Answer
Since space ‘ straight t ’ space is space straight a space parameter comma space with space changing space values space of space ‘ straight t ’ comma space the space straight x space and space straight y space coordinates space of space the space moving space point space will space change. But comma space since space both space straight x space and space straight y space are space related space to space the space same space variable space ‘ straight t ’ comma space they space must space be space related space to space each space other. space This space relation space in space fact space will space be space the space required space equation space to space the space locus space of space the space moving space point. straight x space equals space ucosa. straight t space space space space space space space space space straight y space equals space usina minus pt squared rightwards double arrow straight t equals space straight x over ucosa straight y space equals space usina minus pt squared Subsituting space value space of space straight x space in space this space we space get straight y equals usina minus straight p open parentheses straight x over ucosa close parentheses squared straight y space equals space usina minus open parentheses fraction numerator straight p over denominator straight u squared cos squared straight a end fraction close parentheses straight x squared This space is space the space required space equation space of space locus space of space the space moving space point.
Answered by Vijaykumar Wani | 05 Jul, 2016, 06:34: PM

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