(i) \[\angle ABX+\angle ABY=180{}^\circ \] |
(ii) \[\angle ABX=2\text{ right angles}\] |
(iii) \[\angle \text{ABY=90 }\!\!{}^\circ\!\!\text{ }\] |
(iv) \[\angle \text{XBY=90 }\!\!{}^\circ\!\!\text{ }\] |
A) (i) and (ii) only
B) (ii) and (iv) only
C) (ii) and (iii) only
D) (i) and (iv) only
Correct Answer: B
Solution :
Since\[\overrightarrow{\text{BA}}\bot \overleftrightarrow{\text{XY}}\], \[\angle \text{ABX = 90 }\!\!{}^\circ\!\!\text{ }\]and \[\angle \text{ABY = 90 }\!\!{}^\circ\!\!\text{ }\] \[\therefore \angle ABX+\angle ABY=180{}^\circ \] is true. \[\angle ABX=90{}^\circ \Rightarrow \angle ABX=2\] right angles is false. \[\angle ABY\text{ }=\text{ }90{}^\circ \] is true. \[\angle XBY\text{ }=\text{ }90{}^\circ \] is false since \[\angle XBY=\text{ }\angle XBA+\text{ }\angle ABY\text{ }=180{}^\circ .\]You need to login to perform this action.
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