Specimen Cyprus Seniors Provincial/2nd grade/Problems
Let be a parallelogram. Let be a straight line passing through without cutting . If are the projections of on respectively, show that
a) the distance of from is equal to the sum of the distances , from .
If ,, and prove that
Prove that if are positive integers, then the equation has irrational roots.
If are the roots of equation then:
a) Prove that and
b) Calculate the value of: .