Question:
If the points $(3,-2)$, $(a,2)$, $(8,8)$ are collinear, then the value of $a$ is:
If the points $(3,-2)$, $(a,2)$, $(8,8)$ are collinear, then the value of $a$ is:
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Use slope equality directly for fastest solution.
Updated On: Apr 30, 2026
- \(0 \)
- \(2 \)
- \(4 \)
- \(5 \)
- \(6 \)
Show Solution
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The Correct Option is D
Solution and Explanation
Concept:
Three points are collinear if their slopes are equal.
Step 1: Apply slope condition.
\[ \frac{2 - (-2)}{a - 3} = \frac{8 - (-2)}{8 - 3} \] \[ \frac{4}{a - 3} = 2 \]
Step 2: Solve.
\[ 4 = 2(a - 3) \Rightarrow a = 5 \]
Step 1: Apply slope condition.
\[ \frac{2 - (-2)}{a - 3} = \frac{8 - (-2)}{8 - 3} \] \[ \frac{4}{a - 3} = 2 \]
Step 2: Solve.
\[ 4 = 2(a - 3) \Rightarrow a = 5 \]
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