Q.3 In fig. if OX = 1/2 XY , PY = 1/2 XZ and OX = PX , show that XY = XZ. State the axiom used.
 

Asked by sbidipak | 15th Jul, 2017, 12:14: PM

Expert Answer:

begin mathsize 16px style OX equals 1 half XY
rightwards double arrow 2 OX equals XY space space space space.... left parenthesis straight i right parenthesis
PX equals 1 half XZ
rightwards double arrow 2 PX equals XZ space space space space space space.... left parenthesis ii right parenthesis
OX equals PX space space space space space space space space.... left parenthesis iii right parenthesis
According space to space Euclid apostrophe straight s space axioms comma space things space which space are space double space of space the space same space things
are space equal space to space one space another.
On space multiplying space left parenthesis ii right parenthesis space by space 2 comma space we space get
2 OX equals 2 PX
rightwards double arrow XY equals XZ space space space space space space.... left square bracket From space left parenthesis straight i right parenthesis space and space left parenthesis ii right parenthesis right square bracket end style

Answered by Rashmi Khot | 16th Jul, 2017, 08:28: PM