TS EAMCET · Maths · Straight Lines
Every point on the curve \(3 x+2 y-3 x y=0\) is the centroid of a triangle formed by the coordinate axes and a line (L) intersecting both the coordinate axes. Then all such lines (L)
- A are parallel
- B are concurrent
- C intersect each other at different points
- D are perpendicular to the tangents to the curve
Answer & Solution
Correct Answer
(B) are concurrent
Step-by-step Solution
Detailed explanation
Let the line (L) intersect the x-axis at \((a, 0)\) and the y-axis at \((0, b)\). Equation of line (L): \(\frac{X}{a} + \frac{Y}{b} = 1\). Centroid \((x, y)\) of the triangle formed by \((0, 0)\), \((a, 0)\), \((0, b)\) is…
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