Statement-I: Two lines which pass through a given fixed point and are equally inclined to two other lines…

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.
  1. Both the statements are true and statement-II is the correct explanation of the statement-I.
  2. Both the statements are true but statement-II is not the correct explanation of the statement-I.
  3. Statement-I is true and statement-II is false.
  4. Statement-I is false and statement-II is true.

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.

Asked in: AP EAMCET 2020 (23 Sep Shift 1)

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