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Online Quiz (Worksheet A B C D)

Questions Per Quiz = 2 4 6 8 10

High School Mathematics - 2
5.1 Conditional Identities

Example: If a+b+c = 2S prove that S2+(S-a)2+ (S-b)2+(S-c)2= a2+b2+c2

Directions: Prove the following.
Q 1:

Q 2: If a+b+c = 2S prove that a2+b2- c2+2ab/ a2-b2+ c2+2ac = (S-c)/(S-b)

Q 3: If a+b+c = 0 prove that a2/bc+ b2/ca+ c2/ab = 3

Q 4: If a+b+c 0 and a3+b3+c3 =3abc prove that a=b=c

Q 5:

Q 6: Prove that (x+y)(x+z) = x(x+z)+y(x+z)= x2+xz+xy+yz= x2+x(y+z)+yz

Q 7:

Q 8:

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Question 10: This question is available to subscribers only!

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