GATE ME 2015 Set 1 — Question 37
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General Aptitude → Quantitative Aptitude → Mensuration & Geometry
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Question
Consider an ant crawling along the curve , where and are in meters. The ant starts at the point and moves counter-clockwise with a speed of . The time taken by the ant to reach the point is (in seconds) ________
Correct answer
1.9 to 2.1
Solution
The curve is a circle given by , which has its center at and a radius .
1.Identify the start and end points in polar coordinates relative to the center :
- Start point : Relative to , this is , so .
- End point : Relative to , this is , so .
- The ant moves counter-clockwise from to .
- Arc length .
- Speed .
- Time .
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