AP EAMCET · Maths · Straight Lines
If the sum of the distances of a point from two perpendicular lines in a plane is 1 , then its locus is
- A Two intersecting lines
- B Square
- C A straight line
- D Circle
Answer & Solution
Correct Answer
(B) Square
Step-by-step Solution
Detailed explanation
Let \(P=(h, k)\) be any point in the locus let \(x, y\)-axes be two perpendicular lines \(\therefore\) Distance from \(P(h, k)\) to \(X\)-axis \(=1\) (given) \[ |k|=1 \] Distance from \(P(h, k)\) to \(Y\)-axis \(=1 \Rightarrow|h|=1\) According to the question, \(|h|+|k|=1\)…
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