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

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(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.

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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.