COMEDK · Maths · 10. Straight Lines
A straight lines meets the coordinates axes at \(A\) and \(B\), so that the centroid of the \(\triangle O A B\) is \((1,2)\). Then, the equation of the line \(A B\) is
- A \(x+y=6\)
- B \(2 x+y=6\)
- C \(x+2 y=6\)
- D \(3 x+y=6\)
Answer & Solution
Correct Answer
(B) \(2 x+y=6\)
Step-by-step Solution
Detailed explanation
Since, straight line meets the coordinate axes at \(A\) and \(B\), so equation of line intercept form is \(\frac{x}{a}+\frac{y}{b}=1\). Let \(G\) represents the centroid of \(\triangle O A B\). Given that \(G=(1,2)\). \(\therefore\) Centroid…
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