(i) \[\angle \text{ANM+}\angle \text{MNB=90}{}^\circ \] |
(ii) \[\overline{\text{AN}}\text{=}\overline{\text{NB}}\] |
(iii) \[\overline{\text{AN}}\text{=2 }\overline{\text{NB}}\] |
(iv) \[\angle \text{MNB=}\frac{1}{2}\angle \text{ANM}\] |
A) (i) and (iii) only
B) (ii) and (iv) only
C) (i) and (ii) only
D) (ii) and (iii) only
Correct Answer: C
Solution :
\[\overrightarrow{\text{NM}}\bot \overleftrightarrow{\text{AB}}\] and \[\overrightarrow{\text{NM}}\] divides \[\overleftrightarrow{\text{AB}}\] into two congruent parts. Clearly \[\angle ANM\text{ }=\text{ }\angle MNB\text{ }=\text{ }90{}^\circ \] is true. \[\overline{\text{AN}}\text{=}\overline{\text{NB}}\] is true since \[\overrightarrow{\text{NM}}\bot \overleftrightarrow{\text{AB}}\] \[\overline{\text{AN}}\text{ = 2}\overline{\text{NB}}\] is false, and \[\angle \text{MNB=}\frac{1}{2}\angle \text{ANM}\] is false. Thus, only (i) and (ii) are correct.You need to login to perform this action.
You will be redirected in
3 sec