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Question

Mathematics Question on Coordinate Geometry

A line is cutting x axis and y axis at two points A and B, respectively, where OA = a, OB = b. A perpendicular is drawn from O (origin) to AB at an angle of π6\frac{\pi}{6} from positive x-axis. If area of triangle OAB = 9833\frac{98\sqrt3}{3} sq. units, then 3\sqrt3 a + b is equal to

A

28

B

14

C

12

D

7

Answer

28

Explanation

Solution

The correct answer is (B) : 28