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If the straight lines (x-1)/k=(y-2)/2...

If the straight lines `(x-1)/k=(y-2)/2=(z-3)/3` and `(x-2)/3=(y-3)/k=(z-1)/2` intersect at a point, then the integer k is equal to (1) `-5` (2) 5 (3) 2 (4) `-2`

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To solve the problem, we need to determine the integer value of \( k \) such that the two given lines intersect at a point. The lines are represented in symmetric form. ### Step 1: Write the equations of the lines The two lines can be represented as: 1. Line \( L_1 \): \( \frac{x-1}{k} = \frac{y-2}{2} = \frac{z-3}{3} \) 2. Line \( L_2 \): \( \frac{x-2}{3} = \frac{y-3}{k} = \frac{z-1}{2} \) ### Step 2: Express the lines in parametric form ...
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