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

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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 | 08 Jun, 2022, 03:03: PM

Expert Answer

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 Renu Varma | 10 Jun, 2022, 10:14: AM

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