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if the coordinates of a variable point P is(acosx,bsinx) , where x is a variable quantity , then the locus of P is

Asked by vjayadeepsai 8th June 2022, 3:03 PM
Answered by Expert
Let h = a cosx and k = b sinx 
rightwards double arrow straight h over straight a equals cosx space and space straight k over straight b equals sinx
rightwards double arrow open parentheses straight h over straight a close parentheses squared plus open parentheses straight k over straight b close parentheses squared equals cos squared straight x plus sin squared straight x equals 1
rightwards double arrow straight h squared over straight a squared plus straight k squared over straight b squared equals 1 comma space which space is space an space ellipse
Answered by Expert 10th June 2022, 10:14 AM
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