In a ABC, ab = 2 + 3, and C = 60^ . Then the ordered pair ( A, B) is equal to:

JEE Main 2015 Mathematics question

Mathematics Solution of Triangles JEE Main 2015

Not in JEE syllabus

In a , , and . Then the ordered pair is equal to:

(1)Correct
(2)
(3)
(4)

Answer: (1)

Solution

Since , we have . By the sine rule, . Because we need , which already eliminates options (2) and (3). Use the law of tangents (or Napier's analogy): .

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Question ID VK-115290