Statement-I: Two lines which pass through a g | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(A) Let the two fixed lines be $L_1$ and $L_2$ intersecting at a point $P$.The lines that are equally inclined to $L_1$ and $L_2$ are the angle bisect

Vedclass · Accepted Answer

Both the statements are true and statement-$II$ is the correct explanation of the statement-$I$.

Vedclass · Answer

(A) Let the two fixed lines be $L_1$ and $L_2$ intersecting at a point $P$.The lines that are equally inclined to $L_1$ and $L_2$ are the angle bisectors of the angles formed by $L_1$ and $L_2$.The angle bisectors of any two intersecting lines are always perpendicular to each other because the angle between the internal and external bisectors is always $90^{\circ}$.Thus,Statement-$II$ is true and it correctly explains why the two lines described in Statement-$I$ must be perpendicular.Therefore,both statements are true and Statement-$II$ is the correct explanation of Statement-$I$.

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.

Similar Questions

Which kingdom includes unicellular or multicellular eukaryotic organisms?

Which of the following is $NOT$ a mode of nutrition?

The resistance in the following circuit is increased at a particular instant. At this instant,the value of resistance is $10 \, \Omega$. The current in the circuit will be now:

Photochemical smog pollution does not contain

Vedclass Test Series

Exam Paper Generator

Online Exam Module

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.