Class XI

In a triangle ABC, if A = 75°and B = 45° then (b+ √2 c) is equal to
  1. a
  2. 2a
  3. a+b+c
  4. (a+b+c)/2
In a ΔABC (b +c) cos A + (c + a) cos B + (a + b) cos C is equal to
  1. 0
  2. Rr
  3. a+b+c
  4. None of these
If the angles of a triangle ABC are in A.P., then
  1. c²=a²+b²
  2. a²+c²-ac=b²
  3. c²=a²+b²+ab
  4. None of these
The angles of a triangle are as 1 : 2 : 7, then ratio of greatest side to least side is
  1. (√5+1):(√5−1)
  2. (√2+1):(√2−1)
  3. (√2+3):(2−√3)
  4. (√3+1):(√3−1)
In a triangle ABC, (tan A/2)=56, ( tanB/2) = 20/37, then ( tan C/2) is equal to
  1. 34/37
  2. 100/222
  3. 2/5
  4. 5/2
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