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Q.

A line passes through the point (1, 2) and makes 60° angle with X-axis. A point on this line at a distance 3 from the point (1, 2), is

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a

−52,2−332

b

52,2+332

c

32,2+32

d

None of these

answer is C.

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Detailed Solution

detailed_solution_thumbnail

Equation of such line is

x−1cos⁡60∘=y−2sin⁡60∘=3⇒x=1+3cos⁡60∘

and y=2+3sin⁡60∘

⇒ x=1+32=52 and y=2+332

∴ Coordinates of point are 52,2+332

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