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Grade 11Analytical Geometry

I was having trouble solving this question:

If the coordinates of a point p be (aCosθ, bSinθ) whereθ is a variable quantity, find locuss of p.
I really dont understand how to solve such problems...

Jyotinder Singh

11 Years agoGrade 11

2 Answers

Nicho priyatham

Approved Tutor Answer11 Years ago

the ans is

(x/a)²+(y/b)²=1

it is simple u just need to eliminate θ

and for that

take x=acosθ and y=bsinθ

so cosθ=x/a and sinθ=y/b

now since cos²θ + sin²θ=1 we get

(x/a)²+(y/b)²=1

PLZ APPROVE IF USEFUL incase of any doubts put it in ans box

Jyotinder Singh

11 Years ago

Well that was simple! I guess I’ll just get some practice and would get a hang of it. Thanks!

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