Straight Lines

Geometric Principle: If two lines making angles $θ_{1}$ and $θ_{2}$ with the positive x-axis are perpendicular, then $∣ θ_{1} - θ_{2} ∣ = 9 0^{\circ}$ .
Tangent Relation: $tan θ_{1} = m_{1}$ and $tan θ_{2} = m_{2}$ .
Perpendicularity Condition: For non-vertical lines, the product of their slopes must be $- 1$ ( $m_{1} m_{2} = - 1$ ).
Meaning: This implies one slope is the negative reciprocal of the other ( $m_{2} = - 1/ m_{1}$ ).

This easy difficulty mathematics question is from the chapter coordinate geometry, covering the topic of straight lines. It appeared in the 2025 exam.

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Straight Lines

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