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JEE MATHEMATICS MCQ: STRAIGHT LINES

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Application +4 | -1
If a line joining two points A(2,0)A(2,0) and B(3,1)B(3,1) is rotaled about AA in anticlockwise direction through an angle 15∘15^{\circ} such that the point BB goes to CC in the new position, then the coordinates of CC are
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Correct option: D
(2−12,−32)\left(2-\frac{1}{\sqrt{2}},-\frac{\sqrt{3}}{2}\right)
Option D (2−12,−32)\left(2-\frac{1}{\sqrt{2}},-\frac{\sqrt{3}}{2}\right) is correct because it represents the coordinates of the point C after rotating point B about A by 15 degrees in the anticlockwise direction.

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