AP EAMCET202023 Sep 2020Morning ShiftMathematicsPair of LinesActual
Statement-I: Two lines which pass through a given fixed point and are equally inclined to two other lines passing through the same point, are always perpendicular to each other. Statement-II: Angle bisectors of two intersecting lines are always perpendicular to each other.
Options
- ABoth the statements are true and statement-II is the correct explanation of the statement-I.
- BBoth the statements are true but statement-II is not the correct explanation of the statement-I.
- CStatement-I is true and statement-II is false.
- DStatement-I is false and statement-II is true.
Correct answer
A. Both the statements are true and statement-II is the correct explanation of the statement-I.
Step-by-step solution
As we know angle bisectors of two intersecting lines, i.e., the lines which bisects the angle between the two lines is the locus of a point which is equidistant from the two lines and angle bisectors are always perpendicular to each other. ∴ Both statements are true and statement-II is the correct explanation of the statement-I.