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Answer :
The number of lines joining l₁ and l₂ that can be drawn such that the line is perpendicular to both l₁ and l₂ is 1.
To find the number of lines perpendicular to both l₁ and l₂, we need to consider the intersection of these lines. If l₁ and l₂ intersect at a point, there will be only one line perpendicular to both.
This is because there is only one unique line that can be drawn through the point of intersection and be perpendicular to both l₁ and l₂. If l₁ and l₂ are parallel, there are no points of intersection, and therefore, no lines can be drawn perpendicular to both.
The given statement "The number of lines joining l₁ and l₂ that can be drawn such that the line is perpendicular to both l₁ and l₂ is 1" is true because perpendicular lines intersect at a single point.
Therefore, if l₁ and l₂ intersect, there can only be one line perpendicular to both. If l₁ and l₂ are parallel, they do not intersect, and thus, no line can be drawn perpendicular to both.
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