Guess Paper Math Chapter 12

MCQ’S

1-With usual notation the value of (a – b + c) is:

        A.      s + b

        B.      s – b

        C.      2s – b

        D.      2(s - b)

2-The greatest angle is opposite to…….

        A.      Smallest Side

        B.      Greatest Side

        C.      Same Side

        D.      Right Side

3-In-radiys ‘r’ of a triangle is:

        A.      S (delta)

        B.      Delta/s

        C.      s/delta

        D.      None

4-The circum-radius R is given as:

        A.      a+b+c/4 (delta)

        B.      a+b+c/delta

        C.      abc/delta

        D.      abc/4 (delta)

5-Hero’s formula is used to calculate :

        A.      Area of delta

        B.      Sides of delta

        C.      Angle of delta

        D.      None

Short Questions

       1-      Find area of delta when a=200 , b=120 , gema=15⁰

       2-      Find area of delta when two sides and terminal angle given a=4.31 , b=9.25 , gema=56⁰44’

       3-      Find smallest angle when a=37.34 , b=3.24 , c=35.06

       4-      Solve triangle if beta=60⁰  , gema=15⁰ , b=(6)^1/2

       5-      Prove that  (s - a) tan alpha/2 = gema

       6-      Without usual notation Prove that R = abc/4 (delta)

       7-      Prove that r¹ . r² . r³ = rs²

       8-      Prove that r . r¹ .r² . r³ = delta

Long Questions

       1-      Find R, r ,r₁ ,r₂ , r₃ when  a=13 , b=14 , c=15

       2-      Prove that  r₁ = 4R sin elpha/2 cos beta/2 cos gema/2