Question

1. A particle moves in x-y plane according to rule
x = a sinot and y = a Cosot. The particle follows
[AIPMT (Mains)-2010]
(1) An elliptical path
(2) A circular path
(3) A parabolic path
(4) A straight line path inclined equally to x and
y-axes​

Answer 1

Answer:

A straight line path inclined equally to x and y axis

Answer 2

Answer:

(2) A Circular path

Explanation:

${x}^{2} + {y}^{2} = {acost}^{2} + {asint}^{2} \\ = {a}^{2} \times ( {cost}^{2} + {sint}^{2} ) \\ = {a }^{2}$

This represents the formula of a circle with radius a.