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Consider the following statements:
1. If ABC is an equilateral triangle, then 3tan( A+B) tan C =1.
2. If ABC is a triangle in which A= 78°, B =66°, then

3. If ABC is any triangle, then
Q. Which of the above statements is/are correct?
  • a)
    1 only
  • b)
    2 only
  • c)
    1 and 2
  • d)
    2 and 3
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Consider the following statements:1. If ABC is an equilateral triangle...
∵ ABC is an equilateral triangle.
∴A = B = C=60°
L.H.S. = 3 tan (A + B) tan C
= 3 tan 120° tan 60°
= 3(-√3)(√3)
=-9 ≠ 1
Hence statement (1) is incorrect.
Statement-2
ABC is a triangle such that A=78° and B = 66°
C = 180 - (78 + 66) = 180 -144 = 36°

Hence statement (2) is correct. 
Statement (3)


We can see that statement (3) is not correct. Hence only 2nd statement is correct.
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Consider the following statements:1. If ABC is an equilateral triangle, then 3tan( A+B) tan C =1.2. If ABC is a triangle in which A= 78°, B =66°, then3. If ABC is any triangle, thenQ. Which of the above statements is/are correct?a)1 onlyb)2 onlyc)1 and 2d)2 and 3Correct answer is option 'B'. Can you explain this answer?
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