question_answer

In the figure, if \[MN>NO,\]which of the following is not true?

A)  \[MN<2MO\]

B)  \[z=y\]

C) \[x=y+z\]

D)  \[x>60{}^\circ \]

Correct Answer: C

Solution :

[c] Option [a] holds because chord should be less than diameter i.e. \[2\cdot MO\]in case triangle to be drawn.

\[MN>NO\]        [given]

For option [b] as, OM = ON = radius, angles z and y will be equal.

For option [d] \[x>60{}^\circ \]is \[MN>NO\]

Only option [c] does not hold true except the case

\[y=z=30{}^\circ \]and \[x=120{}^\circ \]