AP EAMCET · Maths · Straight Lines
If the straight line \(2 x+3 y-1=0, x+2 y-1=0\) and \(a x+b y-1=0\) form a triangle with origin as orthocentre, then \((a, b)\) is equal to
- A \((6,4)\)
- B \((-3,3)\)
- C \((-8,8)\)
- D \((0,7)\)
Answer & Solution
Correct Answer
(C) \((-8,8)\)
Step-by-step Solution
Detailed explanation
Here, point \(A\) is the intersection of line \(A B\) and \(A C\) so equation of line passing through \(A\). This line passes through the orthocentre \((0,0)\), then \(\begin{aligned} & -1-\lambda=0 \\ & \lambda=-1 \end{aligned}\) On substituting \(\lambda=-1\) in Eq. (i), we…
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