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Motion in A Plane question

2007 · Q133
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Motion in A Plane question

2007 · Q133

NEETPhysicsMotion in A PlaneMCQ+4 / −1
A particle starting from the origin (0, 0) moves in a straight line in the (x, y) planes. Its coordinates at a later time are (3,3)\left( {\sqrt 3 ,3} \right)(3​,3). The path of the particle makes with the x-axes an angle of
  1. A
    45o
  2. B
    60o
  3. C
    0o
  4. D
    30o.
View written solutionFree

Correct answer: B

AIPMT 2007 Physics - Motion in a Plane Question 30 English Explanation
Let $\theta $ be the angle which the particle makes with an x-axis.

From figure,

$$\tan \theta = {3 \over {\sqrt 3 }} = \sqrt 3 $$

$$ \Rightarrow \theta = {\tan ^{ - 1}}\left( {\sqrt 3 } \right) = 60^\circ $$
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