Find image of point $(1, 6, 3)$ in line $\dfrac{x}{1} = \dfrac{y-1}{2} = \dfrac{z-2}{3}$.
Step-by-Step Solution
Given: Find image of point $(1, 6, 3)$ in line $\dfrac{x}{1} = \dfrac{y-1}{2} = \dfrac{z-2}{3}$.
Step 1: Formulate initial mathematical setup / substitution:
Given equation / conditions:
$$Foot (1, 3, 5). Image Q$$
[1.0 Mark]
Step 2: Perform intermediate algebraic / calculus operations:
Executing the step-by-step reduction:
$$(2(1)-1, 2(3)-6, 2(5)-3)$$
[1.0 Mark]
Step 3: Evaluate final values / boundary conditions:
Substituting limits or solving the simplified system:
$$(1, 0, 7).$$
[1.0 Mark]
Conclusion: The final evaluated answer is (1, 0, 7)..
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🎯 Official CBSE Marking Scheme:
Formulating mathematical relation: 1.0 Mark
Executing algebraic/calculus operations: 1.0 Mark
Evaluating final solution/vector: 1.0 Mark
Correct Answer: