AP EAMCET · Maths · Straight Lines
If \((a, 8)\) is a point on the join of \((2,5)\) and \((4,-1)\) then
- A \(a=\frac{8}{3}\)
- B \(a=\frac{3}{8}\)
- C \(a=1\)
- D \(a=-1\)
Answer & Solution
Correct Answer
(C) \(a=1\)
Step-by-step Solution
Detailed explanation
Since points \(A(a, 8), B(2,5)\) and \(C(4,-1)\) are collinear, so Slope of line \(A B\) and slope of line \(B C\) are same \(\frac{3}{a-2}=\frac{6}{-2} \Rightarrow a-2=-1 \Rightarrow a=1\)
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